Laminar Mixed Convection Flow Research Articles

Effects of internal heat production and Joule heating on MHD conjugate mixed convection and entropy production inside a thermally non-homogeneous cooling system

The current investigation explores MHD combined free-forced convection and entropy generation within a square enclosure (e.g., a nuclear reactor heat removal system) incorporating resistive heating and interior heat production. The cavity features a centrally positioned rotating cylinder, with the leftmost edge kept at a greater temperature than the rightmost boundary. The upper and lower boundaries of the enclosure are thermally insulated throughout the analysis. The solid cylinder rotates clockwise or counterclockwise, generating an aiding or opposing flow configuration. The Galerkin finite element approach solves the two-dimensional Navier-Strokes and thermal energy equations. Four different cases are analyzed through numerical simulations within predetermined ranges of Grashof (103 ≤ Gr ≤ 105), Reynolds (31.623 ≤ Re ≤ 316.23), and Richardson (0.1 ≤ Ri ≤ 10) numbers to analyze conjugate laminar mixed convective flow. Besides, Hartmann (0 ≤ Ha ≤ 17.783) and Stuart (0 ≤ N ≤ 3.162) numbers are varied to address the change in the magnetic field’s intensity considering resistive heating. Finally, the volumetric internal heat production factor (0 ≤ Δ ≤ 3) is considered to account for internal heat generation. This study’s comprehensive quantitative findings encompass the system’s thermal performance, leading to significant conclusions in their respective cases. It is observed that elevating Ri while decreasing Ha or increasing both Ri and N leads to enhanced heat transfer and a reduced average fluid temperature. In contrast, during pure mixed convective flow, Nu rises with simultaneous increments in Gr and Re and decreases in N. Conversely, internal heat production results in lower heat transfer and notable increases in entropy generation and thermal performance criterion. Significantly, during pure mixed convection (Ri = 1) with an aiding flow configuration, the introduction of internal heat generation results in a 36.47 % degradation in heat transport at constant Gr, Re, and N. However, under identical conditions (fixed Gr, Re, and N) and Δ = 0, the aiding flow exhibits 26.91 % better thermal performance than the opposing flow.

Heat Transfer and Entropy Generation for Mixed Convection of Al2O3–Water Nanofluid in a Lid-Driven Square Cavity with a Concentric Square Blockage

The present numerical investigation is focused on analyzing the characteristics of steady laminar mixed convection flow in a lid-driven square cavity, specifically considering the utilization of Al2O3–water nanofluid. The Al2O3–water nanofluid is assumed to be Newtonian and incompressible. Within the cavity, a square blockage is positioned at its center, which is subjected to isothermal heating. The blockage ratio of the square is B = 1/4, and the Grashof number is Gr = 100. The walls of the cavity are maintained at a constant temperature, Tc, while the square blockage remains at a constant temperature, Th. The primary objective of this study is to investigate the flow and heat transfer mechanisms, as well as the entropy generation within the cavity. This investigation is conducted for a range of Richardson numbers (0.01 ≤ Ri ≤ 100) and volume fractions of the nanofluid (0 ≤ ϕ ≤ 0.05). Several parameters are obtained and analyzed, including streamlines, isotherms, velocity variations on the vertical and horizontal midplanes, local Nusselt number variations on the surfaces of the square blockage, the average Nusselt number on the square blockage, and the total dimensionless entropy generation of the system. The results of the investigation revealed that both the average Nusselt number on the square blockage and the total dimensionless entropy generation of the system exhibit an increasing trend with an increasing volume fraction of the nanofluid and a decreasing Richardson number. Furthermore, correlations for the average Nusselt number and the total dimensionless entropy generation with the Richardson number, and the nanofluid volume fraction are derived.

Mixed convection flow over a horizontal plate and the horizontal wake far downstream

The laminar mixed convection flow over a heated or cooled horizontal plate of finite length is a surprisingly intriguing problem. The hydrostatic pressure jump at the trailing edge and across the wake is to be compensated by induced circulation in the outer potential flow, similar to a plate at a non-zero angle of attack. The mixed convection flows over semi-infinite and finite horizontal plates, respectively, are thus substantially different. As the hydrostatic pressure jump remains finite along the infinitely extended wake, the induced outer potential flow around the plate would grow beyond bounds in a domain extending to infinity. Thus, boundary conditions must be imposed at the boundaries of a finite domain. However, the numerical solution of the Navier-Stokes equations remains a challenging problem due to the lack of appropriate outflow conditions. The traditional outflow condition cannot comply with the finite hydrostatic pressure jump across the wake. Thus, an asymptotic expansion for the wake far downstream from the plate is performed. Remarkably, the perturbation of the flow does not decay with increasing distance from the plate as in a classical wake. The asymptotic solution is implemented as an outflow boundary condition for the numerical solution of the Navier-Stokes equations. The results are compared with a boundary-layer solution obtained in previous work for the limiting case of vanishing Prandtl number.

Flow control using hot splitter plates in the wake of a circular cylinder: A hybrid strategy

A novel and effective hybrid technique, which involves active surface heating strategies in conjunction with the use of passive splitter plates in the wake of the cylinder, is proposed. In this report, we present the results of a numerical investigation on the two-dimensional, laminar mixed convection flow over a circular cylinder with a hot rigid splitter plate attached to it on the wake side. A projection algorithm-based finite volume method is employed to obtain the solution of the coupled, nonlinear governing partial differential equations subjected to Courant–Friedrichs–Lewy conditions. The isothermal heating of the splitter plate under the influence of the gravity field generates an upward buoyancy force in the wake of the cylinder. For different length-to-diameter (L/D) ratios, the effect of heating on aerodynamic, wake, and heat transfer characteristics has been studied for a wide range of parameters; 75 ≤Re≤ 150, 0 ≤Ri≤ 1, and 0.5 ≤L/D≤ 1 at Pr = 0.7. It is observed that the hot splitter plate would bring about conspicuous changes such as asymmetry in the vortex shedding behind the cylinder at low Reynolds numbers. The outcomes demonstrate a notable improvement in convective heat transfer and drag, with gains of up to 7% and 15%, respectively. It is found that the rate of heat transfer and vortex shedding frequency decrease with an increase in L/D ratio. Correlations for the estimation of Strouhal number and Nusselt number have also been proposed which helps provide a more thorough understanding of thermal and aerodynamic features of the hybrid approach.

Role of internal heat generation, magnetism and Joule heating on entropy generation and mixed convective flow in a square domain

This study has computationally inspected the role of internal heat generation, magnetism, and Joule heating on mixed convective flow and entropy generation in an air-filled square domain. The right cold wall of the differentially heated domain is sliding in its plane at a fixed speed, giving rise to two distinct flow configurations: aiding and opposing flows based on the direction of the sliding wall. In addition, a uniform magnetic field is applied horizontally parallel to the domain with the facility of Joule heating and volumetric heat generation. The fluid flow and the heat transfer within the square domain are formulated by continuity, momentum, and heat energy conservation equations, which are solved using the Galerkin finite element method after imposing appropriate boundary conditions. Numerical simulations are carried out under five distinct cases over a specific range of Reynolds number (31.623 ≤ Re ≤ 316.23), Grashof number (103 ≤ Gr ≤ 105), Richardson number (0.1 ≤ Ri ≤ 10) for mixed convective laminar flow consideration, Hartmann number (0 ≤ Ha ≤ 17.783), and Stuart number (0 ≤ N ≤ 3.162) for the variation of the strength of the uniform magnetic field under Joule heating, and volumetric heat generation coefficient (0 ≤ Δ ≤ 2) for internal thermal generation. The detailed quantitative results incorporate both the thermal and mechanical performances of the system, leading to several important conclusions outlined in their respective cases. It is found that increasing both Re and Ha or increasing Re and decreasing N with fixed Gr lead to higher heat transfer and reduction of the average fluid temperature inside the domain with less experienced drag and higher total entropy generation. Meanwhile, pure mixed convection exhibits higher heat transfer with increasing Gr, particularly when no internal heat is generated.

Double-diffusive mixed convection with four heated square blocks for different working fluids in a square cavity

This paper investigates the flow behavior of a 2D, steady-state, and double-diffusive mixed convection laminar flow inside a square cavity with heated square blocks. The set of computational equations is discretized using the finite volume method (FVM). The effect of various operating parameters, such as Richardson Number (0.01 ≤ Ri ≤ 10), Grashoff number (102 ≤ Gr ≤ 105), Prandtl number (0.054 ≤ Pr ≤ 7.0.), the size of the heated blocks (BR = 1/4, 1/6, 1/8) are analyzed. Results show that the Nuavg and Shavg on the block surfaces are increased with Ri and decrease with Pr at any block ratio. Denser crowding for contour lines of temperature and concentration along the block was observed for Pr = 7.0 compared to Pr = 0.054. The heat and species transfer rates enhance with increased Ri and BR. Further, an empirical correlation is developed for Nuavg and Shavg.

Numerical investigation of mixed convection flow over a heated horizontal plate of finite length

AbstractThe present numerical study concerns the steady two‐dimensional laminar mixed convection flow of Newtonian fluid over a heated horizontal plate of finite length at a zero angle of attack for large Peclet and small Prandtl and Richardson numbers. The plate is located in a horizontal channel of finite height. Buoyancy induces a uniform hydrostatic pressure jump at the trailing edge and across the thermal wake, which is compensated by a perturbation of the outer potential flow according to the Kutta condition. Counter‐intuitively, the total lift force acting on the plate points in the opposite direction compared to the buoyancy force. The numerical solution obtained with the Finite Element solver FEniCS is compared to an analytical boundary‐layer solution from the literature. For small values of the Richardson number (Ri), an excellent agreement between the numerical and analytical solutions is observed. When Ri exceeds a certain threshold, the flow separates near the leading edge at the lower side of the plate. For some narrow intervals of Ri, three co‐existing solutions of the governing equations are found, which differ by the size of the separation bubble. The flow separation can be suppressed by bending the leading edge.

Entropy generation of pure mixed convection from double circular cylinders rotating inside a confined channel

In this article, numerical investigations have been done on mixed convective laminar flow in a confined horizontal rectangular channel, considering air as the flowing fluid. The channel is provided with two hot solid cylinders rotating about their axes, placed vertically in a side-by-side configuration. A convection current is supplied by inducing a fully developed forced flow at a low temperature through the channel's inlet across the clockwise or counterclockwise rotating cylinders. Steady, two-dimensional Navier-Stokes and heat energy equations govern the transport phenomena within the flow domain. These equations have been simulated using the Galerkin finite element technique with appropriate boundary and interface conditions. Parametric studies have been conducted for Reynolds number based on the mean flow speed over a range of 31.62 ≤ Re ≤ 316.23, and Grashof number within the range of 103 ≤ Gr ≤ 105, while Richardson number is maintained unity (Ri = 1) indicating pure mixed convection. Variations of the geometrical configurations are considered in terms of the cylinders' blockage ratio (λ = 0.05, 0.1, 0.2) and gap ratio (γ = 0.25, 0.50, 0.75). The cylinders' rotational direction impacts are also analyzed by altering the rotational Reynolds number (Reω = 10, −10). Then, a configuration that maximizes the heat transfer rate is obtained by evaluating the flow and thermal properties and the accompanying entropy generation. It is found that maximum heat transfer and lower entropy generation occur when the cylinders rotate in opposite directions to each other. Moreover, the thermal performance criterion improves with a smaller cylinder size, and decreasing the gap ratio increases the Nusselt number and lowers entropy generation.

Simultaneous development of the hydrodynamic and thermal boundary layers of mixed convective laminar flow through a horizontal tube with a constant heat flux

The thermal and hydrodynamic features of developing mixed convective laminar flow in a long horizontal tube were numerically and experimentally investigated. The tube was heated at different constant heat fluxes and had an inner diameter of 11.52 mm and a total length of 9.5 m. Numerical simulations were conducted using ANSYS-Fluent 19.3 with a highly structured mesh and accurate temperature-dependant thermophysical properties for water. The studied parameters consisted of the wall temperatures, Nusselt numbers, vorticity, velocity and temperature gradients, hydrodynamic and thermal boundary layer development, secondary flow, as well as significant momentum terms. By analysing the vorticity characteristics, it was found that our conventional understanding of the merging boundary layer in internal tube flows had to be modified. Subsequently, methods were proposed to determine the development of the hydrodynamic and thermal boundary layers, as well as the momentum terms. The experimental and numerical results indicated that the local mixed convective Nusselt numbers decreased near the tube inlet but then increased along the tube length as secondary flow increased significantly. Furthermore, an increase in secondary flow led to a decreased thermal entrance length but increased hydrodynamic entrance length. By analysing the simultaneous development of the hydrodynamic and thermal boundary layers, it was revealed that the entrance region of a mixed convective laminar flow could be divided into six regions: (1) hydrodynamic inlet region, (2) buoyancy development region, (3) buoyancy dominating region, (4) buoyancy settling region, (5) hydrodynamically stabilising region, and (6) fully developed region.

Entropy generation and characteristics of mixed convection in lid-driven trapezoidal tilted enclosure filled with nanofluid

The investigation of steady, incompressible, laminar mixed convective fluid flow within two different types of tilted lid-driven trapezoidal enclosures filled with nanofluid composed of water and Al2O3 nanoparticles has been carried out in this paper. The upper wall of the enclosure is an isothermal cold surface that travels at a constant speed, while the bottom surface of the cavity maintains a constant high temperature. Non-dimensional governing equations along with the appropriate boundary conditions are solved using Galerkin finite element technique. Parametric simulation has been conducted by varying tilt angle of the base wall from 0° to 45°, Reynolds number from 0.1 to 103, Grashof number from 10−2 to 106, and Richardson number between 0.1 and 10 for three different cases. The streamlines and the isotherms are used to describe the fluid flow and heat transfer characteristics within the enclosure. Besides, the quantitative evaluations of thermal enhancement in terms of the average Nusselt number, average fluid temperature, and Bejan number of the enclosure are presented. Effects of base wall tilt angle and the presence of nanofluid on convection heat transmission characteristics as well as Bejan number are also explored.

Effects of curvature existence, adding of nanoparticles and changing the circular minichannel shape on behavior of two-phase laminar mixed convection of Ag/water nanofluid

In the present research, heat transfer behavior and Ag/water two-phase laminar nanofluid flow as cooling fluid in volume fraction of nanoparticles 0–6 % and Reynolds numbers of 200–500 in a tube with curvature angle of 270° are simulated utilizing finite volume method. 3-D simulations of laminar mixed convection two-phase nanofluid flow considering Grashof numbers of 5,000, 50,000 and 100,000 are carried out numerically. The results of the present research indicate that adding solid nanoparticles causes periodic behavior with particular repeat length on the axial velocity profile and maximum and minimum values shift every 60°. Also, after the curvature angle of 30° because of fluid motion, centrifugal forces importance, fluid rotation, and hydrodynamic field, local friction factor increases considerably up to channel outlet. In all diagrams, the maximum friction factor is related to the Grashof number of 100,000, this value will have more significant augmentation by the increase of volume fraction. Due to better fluid mixing and increase of temperature line slop at Reynolds number of 500, heat transfer enhances at the regions of the bottom bend of the channel. Higher volume fractions of nanoparticles reinforce the heat transfer mechanism and heat absorption from the hot surface. In the regions where fluid is influenced by thermal boundary layer growth, entropy generation is augmented. This entropy generation is due to heat transfer. On the other hand, entropy generation is reduced in the regions where the effect of inlet fluid temperature is dominated.

Numerical investigations on the difference between aiding and opposing flows in the developing regime of laminar mixed convection in vertical tubes

The present article discusses the numerical simulation results of laminar mixed convection flow in vertical tubes. A comparative analysis of the thermal and hydrodynamic features of both buoyancy-assisted and opposed flows was performed for Reynolds number (), Grashof number () and Richardson number () with uniform heat flux boundary condition. 2-D axisymmetric steady state simulations were carried out for a length-to-diameter () ratio of with water as the working fluid. Numerical simulations were performed by employing SIMPLE scheme for pressure–velocity coupling in momentum equations and second order UPWIND scheme for solving energy equations. In case of assisting flow (), at fully developed state the centerline velocity decreases, and velocity is increased near the tube wall due to heat flux induced free convection. With increasing heat flux, the decrement in centerline velocity compared to the no-heat flux condition increases. Further, with increasing heat flux, the increase in friction factor and Nusselt number was observed. Therefore, at the same the variation of heat flux led to unique velocity profiles and temperature gradients. The variation of centerline velocity and temperature in developing region was also studied. While centerline temperature was monotonically increasing with length, the centerline velocity increased up to a maximum in the developing region and then attained the steady state at a lower value in the fully developed state. Subsequently we studied the dependence of on the hydrodynamic and thermal features. For constant friction factor and Nusselt number was observed to increase with increase in from 0.1 to 1.5 range. At fixed variation of heat flux leads to variation of or Hence, the buoyancy effect has a significant role in the entrance length development. The hydrodynamic entry length after an initial increase, attained an almost constant value with increasing On the other hand, the thermal entry length exhibited a decreasing trend with increasing Similarly, at constant Nusselt number increased with increasing for a range of 100–1000. It was evident that for a given and the heat transfer in the developing flow is always higher as that of the fully developed flow. Contrasting observations were observed for buoyancy-opposed flow. Velocity is accelerated at the center as compared to the tube wall in case of opposing flow for same and For a fixed the friction factor and Nusselt number decreased with increasing the Both the hydrodynamic and thermal entry length increases for opposing flows. Finally, we have developed correlations for fully developed friction factor () with as well as and Nusselt number () with for buoyancy-assisting and buoyancy-opposing flows. Two independent correlations are also produced for with Graetz number () for developing and fully developed regimes in both assisting as well as opposing flows.

Symmetry-Breaking in a Porous Cavity with Moving Side Walls

In this paper, a numerical investigation of the steady laminar mixed convection flow in a porous square enclosure has been considered. This structure represents a practical system such as an external through flow of cooled-air an electronic device from its moving sides. The heating was supplied by an internal volumetric source with an uniform distribution at the middle part of its bottom, while the other walls were assumed thermally insulated. Moreover, the momentum transfer in the porous substrate was numerically investigated using the Darcy-Brinkman-Forchheimer law. The governing equations of the posed problem have been solved by applying the finite difference technique on non-uniform grids. For all simulations, the Reynolds number and the porosity have been fixed respectively to Re=100 and φ=0.9. Darcy’s value was varied in the range from 0.001 to 0.1. The results detected the existence of a radical change in the contour patterns for Richardson number equal to 11.76 and 11.77 with fixed Da=0.1. This behavior signified that the fluid is fully convected for higher Darcy number.

Passive heat transfer enhancement of laminar mixed convection flow in a vertical dimpled tube

Passive heat transfer enhancement of laminar mixed convection flow in a vertical dimpled tube

Density Modelling in Mixed Convection Flow in a Vertical Parallel Plate Channel

In this paper, a novel way of modelling the density in buoyancy term of mixed convection flow problem is presented using equation of state and Boussinesq approximation without first-order approximation of density with respect to temperature. The presented density model is used to investigate the laminar mixed convection flow in a vertical parallel plate channel under symmetric constant wall heat flux. The results obtained are compared with the results obtained using first-order approximation of density with Boussinesq approximation, and also compared with the results obtained using variable thermophysical properties with negligible viscous dissipation. Investigation is performed on the basis of flow and thermal fields for Re=150 and 300, Ri=0.1 to 25. It is found that the presented density model produces relatively better results, which is able to describe the case of developing flow under constant heat flux condition that is not evident if Boussinesq approximation with first-order approximation of density is used. An appearance of recirculatory cells when reverse flow takes place is also witnessed in vertical channel flow with constant heat flux boundary condition which was not reported earlier.

Hydrodynamic Analysis of Laminar Mixed Convective Flow of Ag-TiO2-Water Hybrid Nanofluid in a Horizontal Annulus

Nanofluids occupy a large place in many fields of technology due its improved heat transfer and pressure drop characteristics. Very recently, a new type of nanofluid, known as hybrid nanofluid, which consists of a mixture of two different nanoparticles suspended in the base fluid has been found to be the most emerging heat transfer fluid. It is well also established that entrance region effect enhances heat transfer rate. The present study deals with numerical investigations of the hydrodynamic behavior of the laminar mixed convective flow of a hybrid nanofluid in the entrance region of a horizontal annulus. A thermal boundary condition of uniform heat flux at the inner wall and an adiabatic outer wall is selected. The SIMPLER numerical algorithm is adopted in the present study. The hybrid nanofluid consists of water as base fluid and Ag-TiO2 as nanoparticles. The ratio of Ag to TiO2 is maintained as 1:3. The objective of the current study is mainly to analyze the hydrodynamic behavior hybrid nanofluid in the entrance region. The investigation reveals that the effect of the secondary flow due to the buoyancy forces is more intense in the upper part of the annular cross-section. It increases throughout the cross-section until its intensity reaches a maximum and then it becomes weak far downstream. The development of axial flow and temperature field is strongly influenced by the buoyancy forces.

Bioconvection Due to Gyrotactic Microorganisms in Couple Stress Hybrid Nanofluid Laminar Mixed Convection Incompressible Flow with Magnetic Nanoparticles and Chemical Reaction as Carrier for Targeted Drug Delivery through Porous Stretching Sheet.

In this paper, the steady electrically conducting hybrid nanofluid (CuO-Cu/blood) laminar-mixed convection incompressible flow at the stagnation-point with viscous and gyrotactic microorganisms is considered. Additionally, hybrid nanofluid flow over a horizontal porous stretching sheet along with an induced magnetic field and external magnetic field effects that can be used in biomedical fields, such as in drug delivery and the flow dynamics of the microcirculatory system. This investigation can also deliver a perfect view about the mass and heat transfer behavior of blood flow in a circulatory system and various hyperthermia treatments such as the treatment of cancer. The simple partial differential equations (PDEs) are converted into a series of dimensional ordinary differential equations (ODEs), which are determined using appropriate similarities variables (HAM). The influence of the suction or injection parameter, mixed convection, Prandtl number, buoyancy ratio parameter, permeability parameter, magnetic parameter, reciprocal magnetic prandtl number, bioconvection Rayleigh number, coupled stress parameter, thermophoretic parameter, Schmidt number, inertial parameter, heat source parameter, and Brownian motion parameter on the concentration, motile microorganisms, velocity, and temperature is outlined, and we study the physical importance of the present problem graphically.

Conjugate Heat and Mass Transfer on Steady MHD Mixed Convection Flow along a Vertical Slender Hollow Cylinder with Heat Generation and Chemical Reaction Effects

This paper studies the effects of heat generation and chemical reaction on the coupled conjugate heat and mass transfer by MHD laminar mixed convective flow along a vertical slender hollow cylinder. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a non similar transformation and the resulting equations are then solved by the finite difference method using Matlab@ following the code bvp4c. Numerical results of the velocity, temperature and concentration for different values of the conjugate heat transfer parameter p, the magnetic parameter M, the heat generation Q, and the chemical reaction K are studied. The local skin friction, Nusselt number and Sherwood number are also analyzed and presented graphically. In the numerical ranges of the main parameters, it is found mainly that working with strong conjugate heat transfer or/and all others parameters affects negatively the Nusselt and Sherwood numbers. The same trend is revealed for the skin friction factor.

MHD mixed convection on an inclined stretching plate in Darcy porous medium with Soret effect and variable surface conditions

AbstractThis work is concerned with a steady 2D laminar MHD mixed convective flow of an electrically conducting Newtonian fluid with low electrical conductivity along with heat and mass transfer on an isothermal stretching semi-infinite inclined plate embedded in a Darcy porous medium. Along with a strong uniform transverse external magnetic field, the Soret effect is considered. The temperature and concentration at the wall are varying with distance from the edge along the plate, but it is uniform at far away from the plate. The governing equations with necessary flow conditions are formulated under boundary layer approximations. Then a continuous group of symmetry transformations are employed to the governing equations and boundary conditions which determine a set of self-similar equations with necessary scaling laws. These equations are solved numerically and similar velocity, concentration, and temperature for various values of involved parameters are obtained and presented through graphs. The momentum boundary layer thickness becomes larger with increasing thermal and concentration buoyancy forces. The flow boundary layer thickness decreases with the angle of inclination of the stretching plate. The concentration increases considerably for larger values of the Soret number and it decreases with Lewis number. The skin friction coefficient increases for increasing angle of inclination of the plate, magnetic and porosity parameters, however it decreases for rise of thermal and solutal buoyancy parameters. In this double diffusive boundary layer flow, Nusselt and Sherweed numbers increase for rise of thermal and solutal buoyancy parameters, Prandtl number, but they behave opposite nature in case of angle of inclination of the plate, magnetic and porosity parameters. The Sherwood number increases for increasing Lewis number but it decreases for increasing Soret number.

OVERLAPPING MULTI-DOMAIN SPECTRAL METHOD FOR NON-DARCIAN MIXED CONVECTION CHEMICALLY REACTING FLOW OF MICROPOLAR FLUID OVER A FLAT PLATE IN A POROUS MEDIA

An efficient overlapping multi-domain spectral method is presented and used in the analysis of a two-dimensional steady laminar MHD mixed convection flow, heat and mass transfer over a vertical flat plate embedded in a porous medium. The effect of chemical reaction, thermal radiation, heat source/sink and other parameters influencing the flow has been analyzed by imposing magnetic force transverse to the plate in a non-Darcy porous medium with constant wall temperature and concentration conditions. The flow equations are expressed in dimensionless form and solved using overlapping multidomain bivariate spectral local linearization method (OMD-BSLLM). An analysis of the convergence and accuracy of the OMD-BSLLM is given using error norms and residual errors. Comparisons with previously published work for special cases of the problem are performed and excellent concurrence is found; hence reliable results are being presented. The influence of certain parameters on the fluid properties and flow characteristics is analyzed. The skin friction, heat and mass transfer coefficients are presented for the concentrated flow and the turbulent boundary layer flow. The flow characteristics are found to be smaller for turbulent boundary layer flows than concentrated particle flows. This type of flow has an application in catalytic and chromatographic reactions, packed absorption and distillation towers.