scholarly journals Perturbation analysis of thermophoresis, hall current and heat source on flow dissipative aligned convective flow about an inclined plate

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
G. Dharmaiah ◽  
O.D. Makinde ◽  
K.S. Balamurugan
Keyword(s):  
Mass Transfer ◽  
Heat Source ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Magnetic Parameter ◽  
Hall Current ◽  
Perturbation Technique ◽  
Heated Plate ◽  
Inclined Plate ◽  
The Impact

This present examination researches the impacts of thermophoresis, heat source and Hall current on dissipative adjusted MHD joint convection stream about an inclined plate inserted in a permeable medium. Utilizing dimensionless variables, the system of partial differential equations is changed into dimensionless equations. By making use of perturbation technique, estimated solutions for velocity, temperature, concentration profiles, skin friction, rate of heat transfer and rate of mass transfer have been determined. The attained results are explained with an assistance of diagrams to examine the impact of distinct parameters such as Magnetic parameter (M), Aligned magnetic parameter (ξ), Schmidt number (Sc), Eckert number (Ec), inclined angle (α), Prandtl number (Pr), heat generation parameter (Q), and chemical reaction (Kr), assuming two cases viz. Case I: Gr < 0, Gm < 0 (flow on heated plate); Case II: when Gr > 0, Gm > 0(flow on cooled plate). Additionally, the impacts of the appropriate parameters on the skin-friction coefficient and rates of heat and mass transfer are numerically furnished in tabular form. Skin friction coefficients are firmly diminished as magnetic field rises. Sherwood and Nusselt numbers boost up as enhance in chemical reaction.

scholarly journals Unsteady MHD Free Convective Two Immiscible Fluid Flows in a Vertical Permeable Plate with Heat and Mass Transfer under Chemical Reaction and Heat Source

2018 ◽  
Vol 7 (4.10) ◽  
pp. 818
Author(s):  
Sivakami. L. ◽  
Govindarajan A. ◽  
E. P. Siva
Keyword(s):  
Mass Transfer ◽  
Heat Source ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Perturbation Technique ◽  
Fluid Flows ◽  
Immiscible Fluid ◽  
Suction Parameter ◽  
Permeable Plate ◽  
Dimensional Parameters

In this article , the nonlinear Unsteady MHD Free  convective Two Immiscible Fluid Flows in a vertical Permeable plate with Heat and Mass Transfer under chemical reaction and Heat source have been studied here. The conservation equations are solved analytically under the boundary conditions by using perturbation technique. The influence of various non dimensional parameters namely, Magnetic parameter, Prandtl number, chemical reaction,, Thermal radiation parameter and Schmidt number are examined on the velocity, Temperature, Concentration fields in detail. It is noted that  the velocity is decreased with increasing Heat source under chemical reaction parameter. But increasing suction parameter decreases the velocity 

Effectiveness of exponential heat source, nanoparticle shape factor and Hall current on mixed convective flow of nanoliquids subject to rotating frame

2019 ◽  
Vol 15 (4) ◽  
pp. 758-778 ◽  
Author(s):  
B. Mahanthesh ◽  
Amala S. ◽  
Gireesha B.J. ◽  
I.L. Animasaun
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Chemical Reaction ◽  
Shape Factor ◽  
Hall Current ◽  
Flowing Fluid ◽  
Content Type ◽  
Laplace Transform Technique ◽  
The Impact ◽  
Rotating Plate

Purpose The study of novel exponential heat source (EHS) phenomena across a flowing fluid with the suspension of nanoparticles over a rotating plate in the presence of Hall current and chemical reaction has been an open question. Therefore, the purpose of this paper is to investigate the impact of EHS in the transport of nanofluid under the influence of strong magnetic dipole (Hall effect), chemical reaction and temperature-dependent heat source (THS) effects. The Khanafer-Vafai-Lightstone model is used for nanofluid and the thermophysical properties of nanofluid are calculated from mixture theory and phenomenological laws. The simulation of the flow is also carried out using the appropriate values of the empirical shape factor for five different particle shapes (i.e. sphere, hexahedron, tetrahedron, column and lamina). Design/methodology/approach Using Laplace transform technique, exact solutions are presented for the governing nonlinear equations. Graphical illustrations are pointed out to represent the impact of involved parameters in a comprehensive way. The numeric data of the density, thermal conductivity, dynamic viscosity, specific heat, Prandtl number and Nusselt number for 20 different nanofluids are presented. Findings It is established that the nanofluid enhances the heat transfer rate of the working fluids; the nanoparticles also cause an increase of viscous. The impact of EHS advances the heat transfer characteristics significantly than usual thermal-based heat source (THS). Originality/value The effectiveness of EHS phenomena in the dynamics of nanofluid over a rotating plate with Hall current, chemical reaction and THS effects is first time investigated.

scholarly journals MHD Free Convection Flow Across an Inclined Porous Plate in the Presence of Heat Source, ISoret Effect, and Chemical Reaction Affected by Viscous Dissipation Ohmic Heating

2021 ◽  
Vol 12 (5) ◽  
pp. 6280-6296
Keyword(s):  
Nusselt Number ◽  
Heat Source ◽  
Free Convection ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Sherwood Number ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow

This work studies the steady two-dimensional MHD free convection flow past an inclined porous plate embedded in the porous medium in the presence of heat source, iSoret effect, and chemical reaction. The non-dimensional governing equations are solved by the perturbation technique. The Rosseland approximation is utilized to describe the radiative heat flux in the energy equation. The effect of magnetic parameter, heat source parameter, radiation parameter, Grashofi number, modified Grashofi number, Schmidt number, Prandtl number, porosity parameter, Soreti number, and chemical reaction on velocity, temperature, concentration profiles, skin friction, Nusselt number, and Sherwood number are mainly focussed in discussion with the help of graphs. It is seen that velocity, concentration, and skin friction fall with the increasing value of chemical reaction. Further, temperature, Nusselt number, and Sherwood number increase with the increasing value of chemical reaction.

scholarly journals Effects of Chemical Reaction on Transient MHD Flow with Mass Transfer Past an Impulsively Fixed Infinite Vertical Plate in the Presence of Thermal Radiation

2019 ◽  
Vol 24 (4) ◽  
pp. 169-182
Author(s):  
B. Prabhakar Reddy
Keyword(s):  
Mass Transfer ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Magnetic Parameter ◽  
Radiation Parameter ◽  
Reaction Parameter ◽  
Chemical Reaction Parameter ◽  
Infinite Vertical Plate

Abstract The effects of chemical reaction on a transient MHD mixed convection flow with mass transfer past an impulsively fixed infinite vertical plate under the influence of a transverse magnetic field have been presented. The medium is considered to be non-scattering and the fluid to be non-gray having emitting-absorbing and optically thick radiation limit properties. The dimensionless governing equations of the flow and mass transfer with boundary conditions are solved numerically by using the Ritz finite element method. The numerical results for the velocity, temperature and the concentration profiles as well as the skin-friction coefficient for different values of physical parameters such as the radiation parameter, magnetic parameter, Schmidt number and chemical reaction parameter have been obtained and presented through graphs and tables. It has been found that there is a fall in the temperature and velocity for both air and water as the radiation parameter is increased. An increase in the Schmidt number and chemical reaction parameter results a decrease in the concentration and velocity profiles for both air and water. Furthermore, an increase in the radiation parameter, magnetic parameter, Schmidt number and chemical reaction parameter decreases the skin-friction.

Nanoparticle aggregation kinematics on the quadratic convective magnetohydrodynamic flow of nanomaterial past an inclined flat plate with sensitivity analysis

2021 ◽  
pp. 095440892110562
Author(s):  
AS Sabu ◽  
Joby Mackolil ◽  
B Mahanthesh ◽  
Alphonsa Mathew
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Sensitivity Analysis ◽  
Heat Transfer Coefficient ◽  
Heat Source ◽  
Transfer Coefficient ◽  
Flat Plate ◽  
Inclined Plate ◽  
The Impact ◽  
The Heat Transfer Coefficient

The study focuses on the aggregation kinematics in the quadratic convective magneto-hydrodynamics of ethylene glycol-titania ([Formula: see text]) nanofluid flowing through an inclined flat plate. The modified Krieger-Dougherty and Maxwell-Bruggeman models are used for the effective viscosity and thermal conductivity to account for the aggregation aspect. The effects of an exponential space-dependent heat source and thermal radiation are incorporated. The impact of pertinent parameters on the heat transfer coefficient is explored by using the Response Surface Methodology and Sensitivity Analysis. The effects of several parameters on the skin friction and heat transfer coefficient at the plate are displayed via surface graphs. The velocity and thermal profiles are compared for two physical scenarios: flow over a vertical plate and flow over an inclined plate. The nonlinear problem is solved using the Runge–Kutta-based shooting technique. It was found that the velocity profile significantly decreased as the inclination of the plate increased on the other hand the temperature profile improved. The heat transfer coefficient decreased due to the increase in the Hartmann number. The exponential heat source has a decreasing effect on the heat flux and the angle of inclination is more sensitive to the heat transfer coefficient than other variables. Further, when radiation is incremented, the sensitivity of the heat flux toward the inclination angle augments at the rate 0.5094% and the sensitivity toward the exponential heat source augments at the rate 0.0925%. In addition, 41.1388% decrement in wall shear stress is observed when the plate inclination is incremented from [Formula: see text] to [Formula: see text].

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