MHD Mixed Convection

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A Study On The Governing Parameters Of MHD Mixed Convection Problem In A Ventilated Cavity Containing A Centered Square Block

A Study On The Governing Parameters Of MHD Mixed Convection Problem In A Ventilated Cavity Containing A Centered Square Block

Two types of fluid motions such as parallel forced flow in the channel and the recirculation flow inside the cavity were found by the authors. Raji and Hasnaoui [7] studied the opposing mixed convection in a rectangular cavity heated from the side with a constant heat flux using the finite difference method. The problem of steady laminar forced convection inside a square cavity with inlet and outlet ports was presented by Saeidi and Khodadadi [8]. Sharif et al. [9] studied the assisting flow of MHD mixed convection inside a ventilated enclosure. Al-Rashed and Badruddin [10].investigated heat transfer in a porous cavity. Billah et al. [11] investigated a simulation of MHD combined free and forced convection heat transfer enhancement in a double lid-driven blocked enclosure. Kumar and Dalal [12] studied free convection around a heated square cylinder kept in an enclosure for the Reynolds number varied as 10 3 to 10 6 and reported that the uniform wall temperature heating is quantitatively different from the uniform wall heat flux heating. The mixed convection in a ventilated square cavity with a heat conducting horizontal solid circular cylinder was analyzed by Rahman et al. [13]. Chamkha [14] focused an unsteady laminar combined convection flow and heat transfer of an electrically conducting and heat generating or absorbing fluid considering the effect of a magnetic field in a vertical lid-driven cavity. Oztop et al. [15] investigated the fluid flow characteristics of combined convection in a lid-driven cavity containing a circular body where the cavity was heated at the left wall, cooled at the right wall and other two walls of the enclosure were insulated. A Hydromagnetic mixed convection problem in a double-lid driven cavity with a heat- generating block have been computed to observe the effect of Prandtl number by Rahman et al. [16]. Gau et al. [17] performed an experimental study on combined free and forced convection in a horizontal rectangular channel heated from a side. Mamun et al. [18] numerically studied mixed convection heat transfer in a bottom heated trapezoidal enclosure along with a moving upper wall and in this work the consequence of Richardson number, aspect ratio as well as rotational angle of the optimum trapezoidal cavity are presented by the authors. Hasanuzzaman et al. [19] analyzed the effects of variables on natural convective heat transfer through V-corrugated vertical plates. Mehmet and Elif [20] investigated natural convective flow in a rectangular enclosure having electrically conducting fluid with a magnetic field to find the inclination effect of the ______________________
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Radiative heat transfer in MHD mixed convection flow of nanofluids along a vertical channel

Radiative heat transfer in MHD mixed convection flow of nanofluids along a vertical channel

This thesis is focused on the unsteady MHD mixed convection flow of nanofluids inside a vertical channel. Nanoparticles are suspended inside regular fluids where water and ethylene glycol are chosen for this purpose. Nanofluids or ferrofluids are introduced by using several models and equations. Three different driving forces have been considered, which are responsible for inducing the motion into the fluid. These are buoyancy force, external pressure gradient and boundary wall. The first problem emphasized on MHD mixed convection flow of ferrofluids passing through a vertical channel with stationary walls. The second problem focuses on the influence of radiation and heat generation effects on MHD mixed convection flow of nanofluids along a vertical channel. The third problem explores the MHD mixed convection flow of nanofluids in a vertical channel filled with porous medium together with stationary and oscillating boundary conditions. The fourth problem highlights the study of mixed convection flow of nanofluids in a porous channel filled with permeable walls. Perturbation technique has been used to solve the governing linear partial differential equations. Analytical solutions for velocity and temperature are obtained for all the proposed problems and plotted through various graphs. A computational software namely Mathcad has been used for plotting graphs and for computing tabulated results. Further, the limiting cases of the present results give the published results in literature.
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MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body

MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body

Abstract: MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.
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Steady and unsteady mhd mixed convection flow of casson and casson nanofluid over a nonlinear stretching sheet and moving wedge

Steady and unsteady mhd mixed convection flow of casson and casson nanofluid over a nonlinear stretching sheet and moving wedge

This study numerically investigates the steady and unsteady MHD mixed convection flow of Casson and Casson nanofluid over a nonlinearly stretching sheet and moving wedge in the presence of thermal radiation, chemical reaction, slip and convective boundary conditions. The highly nonlinear coupled partial differential equations are transformed into nonlinear ordinary differential equation with the help of suitable transformations and then solved using Keller-box method. The obtained results are displayed graphically and discussed in detail. In order to validate the present method, numerical results for skin friction and Nusselt number are compared with the previously published results. Following are the objectives of the present study:
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Effect of joule parameter on MHD mixed convection in an open channel 
		with semi circular heater on the bottom wall

Effect of joule parameter on MHD mixed convection in an open channel with semi circular heater on the bottom wall

Many investigators have studied the effect of magnetic field on the fluid flow and heat transfer in conductive fluids problems. Ozoe [1, 2] studied the ability of magnetic field to manipulate heat and fluid flow in metallurgical industries. Reynolds and prandtl numbers effects on MHD mixed convection in a lid-driven cavity along with joule heating and a centered heat conducting circular block investigated by Rahman et al. [3]. Oztop et al. [4] studied buoyancy induced flow in magneto hydrodynamic-fluid filled enclosure with sinusoidally varying temperature boundary conditions. They found that increasing Hartmann number decreases heat transfer rate within the enclosure. Salam et al. [5] numerically studied steady laminar natural convection of air flow in a sinusoidal corrugated enclosure containing a tilted hot thin plate located symmetrically at its centreline. Rahman et al. [6] studied the effects of magnetic field on mixed convection flow in a horizontal channel with a heated square cavity at the bottom wall numerically. Their investigation was carried out using Galerkin weighted residual finite element technique. It is found that magnetic field is mostly effective inside the cavity. Moreover, a numerical study on conduction-combined forced and natural convection heat transfer flow of air in a differentially heated lid-driven parallelogram-shaped enclosure divided by a solid partition has been conducted extensively by Chamkha et al. [7]. Rahman et al. [8, 9] also numerically studied mixed convection flow inside a ventilated cavity with different heat conducting solid bodies. They found that the characteristics of the heat transfer and fluid flow are influenced by the interaction
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MHD MIXED CONVECTION FLOW OF A NON-NEWTONIAN POWELL-ERYING FLUID OVER A PERMEABLE EXPONENTIALLY SHRINKING SHEET

MHD MIXED CONVECTION FLOW OF A NON-NEWTONIAN POWELL-ERYING FLUID OVER A PERMEABLE EXPONENTIALLY SHRINKING SHEET

The magnetohydrodynamic (MHD) mixed convection heat transfer in a non-Newtonian Powell-Erying fluid flow due to an exponentially shrinking porous sheet is investigated. Both assisting and opposing flows are considered. After use of the suitable transformations, the governing equations become non-similar ODEs. Numerical computations of resulting equations are obtained by very efficient shooting method for several values of involved parameters. The results exhibit that dual non-similar solutions can be found only when some amount of fluid mass is sucked from the flow field through the porous sheet. Many important results on the effect of external magnetic field on mixed convective flow of Powell-Erying fluid have been explored. Where, it is found that dual non-similar solutions exist for the opposing flow, while for the assisting flow, solution is unique and for steady Powell-Erying fluid flow stronger mass suction is required compared to the Newtonian fluid flow.
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MHD mixed convection slip flow near a stagnation-point on a nonlinearly vertical stretching sheet

MHD mixed convection slip flow near a stagnation-point on a nonlinearly vertical stretching sheet

Different from the flow induced by a stretching horizontal sheet, the effect of mixed con- vection due to a buoyancy force could not be neglected for the vertical sheet. There has been increasing interest in studying the problem of MHD with mixed convection bound- ary layer flow and heat transfer characteristics over a stretching vertical surface [–]. Very recently, Ali et al. [] studied the MHD mixed convection stagnation-point flow and heat transfer of an incompressible viscous fluid over a vertical stretching sheet, and the MHD boundary layer flow over a vertical stretching/shrinking sheet in a nano-fluid was investigated by Makinde et al. [] and Das et al. [].
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Moving Lids Direction Effects on MHD Mixed Convection in a Two-Sided Lid-Driven Enclosure Using Nanofluid

Moving Lids Direction Effects on MHD Mixed Convection in a Two-Sided Lid-Driven Enclosure Using Nanofluid

micro-electronic devices, the flow is influenced by magnetic fields. Hence, study on natural or mixed convection fluid flow and heat transfer in the enclosures in the presence of magnetic forces is important in such cases. There are a large number of studies on both MHD mixed and natural convection heat transfer in conventional fluid-filled enclosures. Groson et al. [13] have numerically studied the steady MHD free convection in a rectangular cavity filled with a fluid-saturated porous medium with internal heat generation. Rahman et al. [14] performed a numerical investigation into conjugate effect of joule heating and magnetic force, acting normal to the left vertical wall of an obstructed lid-driven cavity saturated with an electrically conducting fluid. Sivasankaran et al. [15] carried out a numerical study on mixed convection in a square cavity of sinusoidal boundary temperatures at the sidewalls in the presence of magnetic field. The results of a numerical study on mixed convection of MHD flow with joule effect in two-dimensional lid-driven cavity with corner heater were reported by Oztop et al. [16]. Revnic et al. [17] conducted a numerical investigation into the effects of an inclined magnetic field and heat generation on unsteady free convection within a square cavity filled with a fluid-saturated medium. The effects of moving lid direction on MHD-mixed convection in a cavity with linearly heated bottom wall were analyzed by Al- Salem et al. [1]. In spite of a large number of papers about natural and mixed convection of conventional fluids in cavities with magnetic field effects which is mentioned before, there is a serious lack of information about MHD natural or mixed convection of nanofluids in enclosures. Ghasemi et al. [18] examined the natural convection in an enclosure filled with water-Al 2 O 3 nanofluid, influenced by a magnetic
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Effect of radiation on MHD mixed 
		convection flow past a semi infinite vertical plate

Effect of radiation on MHD mixed convection flow past a semi infinite vertical plate

In the case of a fluid through a porous medium, Thermal and Solutal transport are of a great interest from both theory and application point of view. Heat transfer in the case of homogeneous fluid-saturated porous media has been studied with relation to different applications like dynamics of hot underground springs, terrestrial heat flow through aquifer, hot fluid and ignition front displacements in reservoir engineering, heat exchange between soil and atmosphere, flow of moisture through porous industrial materials, and heat exchanges with fluidized beds. Mass transfer in isothermal conditions has been studied with applications to problems of mixing of fresh and salt water in aquifers, miscible displacements in oil reservoirs, spreading of solutes in fluidized beds and crystal washers, salt leaching in soils, etc. An integral approach to the heat and mass transfer by natural convection from vertical plates with variable wall temperature and concentration in porous media saturated with an electrically conducting fluid in the presence of transverse magnetic field has been studied by [1]. The unsteady free convective MHD flow and mass transfer of a viscous, incompressible, electrically conducting fluid past an infinite vertical, non-conducting porous plate with variable temperature was analyzed by [2]. Natural convection from a permeable sphere embedded in a variable porosity porous medium due to thermal dispersion was analyzed by [3]. Dual solutions in mixed convection flow near a stagnation point on a vertical porous plate were investigated by [4]. Combined heat and mass transfer by natural convection under boundary layer approximations has been studied by [5], [6]. Coupled heat and mass transfer by mixed convection in Darcian fluid-saturated porous medium has been analyzed by [7]. The problem of thermal dispersion and radiation effects on non-Darcy natural convection in a fluid saturated porous medium were studied by [8]. Thermal radiation heat transfer effects on the Rayleigh of gray viscous fluids under the effect of a transverse magnetic field have been investigated by [9]. The steady two-dimensional stagnation-point flow of an
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Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity

Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity

Mixed convection in porous cavity has also been studied in presence of internal heat generation. Khanafer and Chamkha [14] investigated the laminar, mixed convection flow in a Darcian fluid-saturated porous cavity with internal heat generation and they observed that the flow and the heat transfer inside the cavity were strong function of Richardson number (Ri). The effect of surface tension on unsteady laminar natural convection flow of an electrically conducting fluid in a rectangular enclosure under an extremely imposed magnetic field with internal heat generation has been investigated by Hossain et al. [15]. Mahapatra et al. [16] studied the mixed convection problem in differentially heated square enclosure with two adiabatic partitions. Their results showed that the effect of the partition location on heat transfer is marginal for Ri = 1.0 and which is more pronounced for Ri = 0.1. Sivakumar et al. [17] numerically analyzed the mixed convection heat transfer and fluid flow in lid-driven cavities where the left vertical wall is partially heated. Iwatsu et al[18] analyzed numerically mixed convection heat transfer in a driven cavity with a stable vertical temperature gradient. Their results have revealed that the flow features are similar to those of a conventional lid driven cavity of a non-stratified fluid for small values of the Richardson number. Basak et al. [19] investigated the influence of uniform and non-uniform heating of bottom wall while vertical walls are maintained at cold temperature on mixed convection lid driven cavity flows in a square cavity. Their results showed that the heat transfer rate is very high at the edges of bottom wall and then decreases at the center of the bottom wall for uniform heating and contrast lower heat transfer rate at the edges for the non-uniform heating of the bottom wall.
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Double stratification effects on unsteady electrical MHD mixed convection flow of nanofluid with viscous dissipation and Joule heating

Double stratification effects on unsteady electrical MHD mixed convection flow of nanofluid with viscous dissipation and Joule heating

Consider the unsteady mixed convection flow of an elec- trical conducting nanofluid over a permeable stretching sheet surface in the presence of external magnetic and electric fields, thermal radiation, heat generation/absorption, chemical reaction, viscous dissipation and Joule heating. The coordi- nate system is selected in such a manner that the x-axis is measured along the stretching sheet and the y-axis is nor- mal to it and the flow is occupied above the surface sheet y > 0 displayed in Figure 1. Two equal and opposite forces

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Viscous dissipation and ohmic heating effects on heat and mass transfer of MHD mixed convection flow over an inclined porous plate in the presence of soret effect and temperature gradient dependent heat source

Viscous dissipation and ohmic heating effects on heat and mass transfer of MHD mixed convection flow over an inclined porous plate in the presence of soret effect and temperature gradient dependent heat source

[3] Chand K., Kumar R., Sharma S., “Hydro magnetic oscillatory flow through a porous medium bounded by two vertical porous plates with heat source and soret effect”, Advances in Applied Science Research, 2012, 3, 2169-2178. [4] Rabin N. Barik., et.al, “chemical reaction effect on MHD oscillatory flow through a porous medium bounded by two vertical porous plates with heat source and soret effect”. Journal of applied analysis and computation, 2013, 3, 4, 307-321

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SIMULTANEOUS THERMAL AND MASS DIFFUSION IN MHD MIXED CONVECTION FLOW

SIMULTANEOUS THERMAL AND MASS DIFFUSION IN MHD MIXED CONVECTION FLOW

Convective flows often driven by temperature and concentration differences has been the objective of extensive research due to their vast applications in nature and engineering problems. The situations are often encountered in nature includes photo-synthetic mechanism, evaporation and vaporization of mist and fog, while the engineering application includes the chemical reaction in a reactor chamber consisting of rectangular ducts, chemical vapor deposition on surfaces and cooling of electronic equipment. Magneto hydrodynamics flows has applications in meteorology, solar physics, cosmic fluid dynamics, astrophysics, geophysics and in the motion of earth’s core. From the technological point of view, MHD free convection flows have significant applications in the field of stellar and planetary magnetospheres, aeronautics, chemical engineering and electronics. Due to several important applications, such flows has been studied by several authors. Heat and mass transfer on flow past a vertical plate have been studied by several authors; viz. Somess [1], Soundalgekar and Ganesan [2], Khair and Bejan [3] and Lin and Wu [4] in numerous ways to include various physical aspects. In addition to the above note worthy contributions have been made by Shercliff [5] Ferraro and Plumption [6] Cramer and Pai [7] and Elbashbeshy [8].
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Review of Convection and Magnetohydrodynamic Mixed Convection Heat Transfer Enhancement

Review of Convection and Magnetohydrodynamic Mixed Convection Heat Transfer Enhancement

In this work, we show a comparative study of two different kinds of convection heat transfer enhancement techniques carried out with an aim of better thermal/energy/power management. We explored and presented the recent articles in the field of passive heat transfer enhancement using extra surface to kill the thermal boundary layer as well as the MHD mixed convection in a lid-driven cavity. Hereby, we are confident enough that this review article will help in planning for future design and development of heat exchangers in plethora of applications.
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Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

convection and nonlinear thermal radiation in the presence of water-based carbon nanotubes over the vertically convected stretched sheet embedded in a Darcy- Forchheimer porous media using Saffman ’ s proposed model for the suspension of fine dust particles in the nanofluid. Lu et al. [14] scrutinized a thin film flow of a nanofluid consisting of single and multi-walled carbon nanotubes with Cattaneo-Christov heat flux and entropy generation. Suleman et al. [15] studied the impacts of Newtonian heating and homogeneous – heterogeneous reactions on the flow of silver-water nano- fluid past a nonlinear stretched cylinder with MHD and nonlinear thermal radiation. Suleman et al. [16] extended the work of Suleman et al. [15] by incorporating viscous dissipation, heat generation/absorption and joule heating effects. Madhu et al. [17] studied the boundary layer flow and heat transfer of a power-law non-Newtonian nano- fluid past a nonlinearly stretching sheet. Madhu and Kishan [18] numerically investi- gated MHD mixed convection flow of heat and mass transfer stagnation-point flow of a non-Newtonian power-law nanofluid towards a stretching surface in the presence of thermal radiation using finite element method. Macha et al. [19] analyzed the MHD boundary layer flow of a viscous, incompressible and electrically conducting non- Newtonian nanofluid obeying power-law model over a nonlinear stretching sheet under the effect of thermal radiation with heat source/sink. Alebraheem and Ramzan [20] studied the heat and mass transfer of Casson nanofluid flow containing gyrotactic microorganisms past a swirling cylinder. Farooq et al. [21] described the static wedge flow of non-viscous Max- well nanofluid using BVPh2.0 solver. Farooq et al. [22] analyzed the effects of thermophore- tic and Brownian motion on MHD non-Newtonian Maxwell fluid with nanomaterials over an exponentially stretching surface using Buongiorno model. Macha et al. [23] investigated the MHD boundary layer flow of Sisko nanofluid flow past a wedge.
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Two-phase mixed convection nanofluid flow of a dusty tangent hyperbolic past a nonlinearly stretching sheet

Two-phase mixed convection nanofluid flow of a dusty tangent hyperbolic past a nonlinearly stretching sheet

A theoretical analysis for magnetohydrodynamic (MHD) mixed convection of non- Newtonian tangent hyperbolic nanofluid flow with suspension dust particles along a vertical stretching sheet is carried out. The current model comprises of non-linear partial differential equations expressing conservation of total mass, momentum, and thermal energy for two-phase tangent hyperbolic nanofluid phase and dust particle phase. Primitive similarity formulation is given to mutate the dimensional boundary layer flow field equations into a proper nonlinear ordinary differential system then Runge-Kutta-Fehlberg method (RKF45 method) is applied. Distinct pertinent parameter impact on the fluid or particle velocity, temperature, concentration, and skin friction coefficient is illustrated. Analysis of the obtained computations shows that the flow field is affected appreciably by the existence of suspension dust particles. It is concluded that an increment in the mass concentration of dust particles leads to depreciate the velocity distributions of the nanofluid and dust phases. The numerical computations has been validated with earlier published contributions for a special cases.
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Transient free convection MHD flow past a vertical plate with exponentially decaying wall temperature and radiation

Transient free convection MHD flow past a vertical plate with exponentially decaying wall temperature and radiation

convection flow past semi-infinite vertical plate were presented by a good numbers of researchers. Ibrahim et al. (2008) observed the influences of viscous dissipation and radiation on unsteady MHD mixed convection flows of micro-polar fluids, while Mahmoud Mustafa (2007) investigated the flow of fluids with variable viscosity past a moving vertical plate with simultaneous effects of transverse magnetic field and radiation. Ramachandra et al. (2007) studied radiation and mass transfer effects on an unsteady MHD free convective flow past a heated vertical plate in porous medium with viscous dissipation. Studies on flow past plate with variable temperature have been receiving quite remarkable attention by researchers since long back. Temperature variations at the plate may occur with different modes with respect to the source responsible for heating the surface bounding the fluid. Nature of a flow obviously depends on how temperature of the plate varies. Realizing the importance of such flows some researchers had made their investigations on this topic. Das et al. (1999) investigated transient free convection flow past an infinite vertical plate with periodic temperature variation. Pal and Chatterjee (2010) studied heat and mass transfer in MHD non-Darcian flow of a micro-polar fluid over a stretching sheet embedded in a porous medium with non-uniform heat source and thermal radiation.
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Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel

Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel

The effects of Hall current and radiation on MHD mixed convection in a rotating vertical channel temperature in the presence of a uniform transverse magnetic field have been investigated. It is found that the Hall parameter m accelerates the primary velocity u 1 as well as the magnitude of the secondary velocity v 1 . An increase in radiation parameter R leads to fall in the primary velocity u 1 as well as the magnitude of the secondary velocity v 1 . Further, the amplitudes and tangent of phases of the shear stresses due to the primary and the secondary flows at the plates are significantly affected by characteristic parameters. The amplitudes and tangent of phases of the rate of heat transfer at the plates increases with an increase in radiation parameter R .
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Evaluation of non-linear convection aspect to analyze Rate type chemically reacted fluid considering Cattaneo-Christov dual diffusive model

Evaluation of non-linear convection aspect to analyze Rate type chemically reacted fluid considering Cattaneo-Christov dual diffusive model

2. M. Waqas, M. Farooq, M. Ijaz Khan, A. Alsaedi, T. Hayat and T. Yasmeen, Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition, International Journal of Heat and Mass Transfer 102 (2016) 766-772.

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Energy Transfer in Mixed Convection MHD Flow of Nanofluid Containing Different Shapes of Nanoparticles in a Channel Filled with Saturated Porous Medium

Energy Transfer in Mixed Convection MHD Flow of Nanofluid Containing Different Shapes of Nanoparticles in a Channel Filled with Saturated Porous Medium

flow inside a square cavity. Fan et al. [20] investigated mixed convection heat transfer in a horizontal channel filled with nanofluids. Tiwari and Das [21] and Sheikhza- deh et al. [22] analyzed laminar mixed convection flow of a nanofluid in two-sided lid-driven enclosures. Further, magnetic field in nanofluids has its numerous applications such as in the polymer industry and metal- lurgy where hydromagnetic techniques are being used. Nadeem and Saleem [23] examined the unsteady flow of a rotating MHD nanofluid in a rotating cone in the pres- ence of magnetic field. Al-Salem et al. [24] investigated MHD mixed convection flow in a linearly heated cavity. The effects of variable viscosity and variable thermal conductivity on the MHD flow and heat transfer over a non-linear stretching sheet was investigated by Prasad et al. [25]. The problem of Darcy Forchheimer mixed convection heat and mass transfer in fluid-saturated por- ous media in the presence of thermophoresis was pre- sented by Rami et al. [26]. Effect of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium bounded by a stretching vertical plate was presented by Hayat et al. [27]. Few other studies on mixed convection and nanofluids are given in [28–38].
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