scholarly journals EFFECT OF CHEMICAL REACTION ON MIXED CONVECTION FLOW OF AN EXOTHERMIC FLUID IN A VERTICAL POROUS CHANNEL

2019 ◽  
Vol 1 (1) ◽  
pp. 38-58
Author(s):  
Murtala Sani ◽  
Abdulazeez Sheriff
Keyword(s):  
Nusselt Number ◽  
Differential Equations ◽  
Mixed Convection ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Sherwood Number ◽  
Transformation Method ◽  
Porous Channel ◽  
Convection Flow ◽  
Mixed Convection Flow

In this paper, effect of chemical reaction on mixed convection flow of an exothermic fluid in a vertical porous channel is considered. The dimensionless ordinary differential equations were solved using differential transformation method (DTM) to obtain the expression of velocity, temperature and concentration from momentum, energy and mass equations.  The effect of Skin friction, Nusselt number and Sherwood number with various parameters on velocity, temperature and concentration are presented and discussed. The result indicated that the velocity, temperature and concentration increases with the increase in suction/injection and mixed convection parameters.

scholarly journals HYDROMAGNETIC MIXED CONVECTION FLOW OF AN EXOTHERMIC FLUID IN A VERTICAL CHANNEL

2019 ◽  
Vol 1 (1) ◽  
pp. 19-37
Author(s):  
Abdulazeez Sheriff ◽  
Murtala Sani
Keyword(s):  
Nusselt Number ◽  
Differential Equations ◽  
Mixed Convection ◽  
Ordinary Differential Equations ◽  
Skin Friction ◽  
Sherwood Number ◽  
Vertical Channel ◽  
Transformation Method ◽  
Convection Flow ◽  
Mixed Convection Flow

In this paper, Hydromagnetic mixed convection flow of an exothermic fluid in a vertical channel is considered. The dimensionless ordinary differential equations were solved using differential transformation method (DTM) to obtain the expression of velocity, temperature and concentration. From momentum, energy and mass equations.  The effect of Skin friction, Nusselt number and Sherwood number with various parameters on velocity, temperature and concentration are presented and discussed. The result indicated that the effect of t, is to increase the Skin friction while K increases it at upper plate and suppresses it at lower plate.

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 Unsteady MHD chemically reacting fluid through a porous medium bounded by a non-isothermal impulsively-started vertical plate: a numerical technique

2014 ◽  
Vol 11 (1) ◽  
pp. 39-54
Author(s):  
Sahin Ahmed ◽  
Karabi Kalita
Keyword(s):  
Porous Medium ◽  
Nusselt Number ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Sherwood Number ◽  
Vertical Plate ◽  
Convection Flow ◽  
Local Skin ◽  
Porosity Parameter ◽  
Local Skin Friction

A numerical modeling on MHD transient mass transfer by free convection flow of a viscous, incompressible, electrically-conducting, and Newtonian fluid through a porous medium bounded by an impulsively-started semi-infinite vertical plate in the presence of thermal radiation and chemical reaction of first order has been analyzed. The fluid is assumed optically thin gray gas, absorbing-emitting radiation, but a non-scattering medium. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient, accurate, extensively validated and unconditionally stable finite difference scheme of the Crank-Nicolson type. The effects of the conduction-radiation parameter , chemical reaction and the porosity (K) on the velocity, temperature and concentration fields have been studied. The local skin friction, Nusselt number and the Sherwood number are also presented graphically and analyzed. Increasing magnetic parameter serves to decelerate the flow but increased temperatures and concentration values. It is found that the velocity is increased considerably with a rise in the porosity parameter (K) whereas the temperature and concentration are found to be reduced with increasing porosity (K). An increase in the porosity parameter (K) is found to escalate the local skin friction , Nusselt number and the Sherwood number . Possible applications of the present study include laminar aerodynamics, materials processing and thermo-fluid dynamics.DOI: http://dx.doi.org/10.3329/jname.v11i1.10269

scholarly journals Three-Dimensional MHD Mixed Convection Flow of Casson Nanofluid with Hall and Ion Slip Effects

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Wubshet Ibrahim ◽  
Temesgen Anbessa
Keyword(s):  
Nusselt Number ◽  
Heat Source ◽  
Mixed Convection ◽  
Skin Friction ◽  
Local Nusselt Number ◽  
Three Dimensional ◽  
Casson Fluid ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Ion Slip

The intention of the present study is to scrutinize the three-dimensional MHD mixed convection flow of Casson nanofluid over an exponentially stretching sheet using the impacts of Hall and ion slip currents. Moreover, the impacts of thermal radiation and heat source are considered in this study. The governing partial differential equations are transformed into a system of joined nonlinear ordinary differential equations using similarity transformations, and they are solved numerically employing a spectral relaxation method (SRM). The obtained results are contrasted with existing specific cases, and a reasonable harmony is established. The impacts of noteworthy physical parameters on the velocities, thermal and concentration distributions, skin friction coefficients, local Nusselt number, and local Sherwood number are investigated graphically. It is found that the rise in Casson fluid and magnetic field parameters reduce the velocity profiles along both x− and y− directions while the reverse tendency is observed with an increment in Hall, ion slip, and mixed convection parameters. Moreover, the increase in both radiation and heat source parameters enhances the temperature profile. It is also observed that both the skin friction coefficients reduced with an increase in Casson fluid, Hall, and ion slip parameters. Furthermore, the local Nusselt number enhances with an augment in radiation parameter, whereas the opposite trends of local Nusselt and Sherwood numbers are found with an increase in heat source parameter.

Effect of Nanofluid on Heat Transfer Enhancement for Mixed Convection Flow Over a Corrugated Surface

2020 ◽  
Vol 45 (4) ◽  
pp. 373-383
Author(s):  
Nepal Chandra Roy ◽  
Sadia Siddiqa
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Local Nusselt Number ◽  
Richardson Number ◽  
Thermal Boundary Layer ◽  
Volume Fraction ◽  
Convection Flow ◽  
Mixed Convection Flow

AbstractA mathematical model for mixed convection flow of a nanofluid along a vertical wavy surface has been studied. Numerical results reveal the effects of the volume fraction of nanoparticles, the axial distribution, the Richardson number, and the amplitude/wavelength ratio on the heat transfer of Al2O3-water nanofluid. By increasing the volume fraction of nanoparticles, the local Nusselt number and the thermal boundary layer increases significantly. In case of \mathrm{Ri}=1.0, the inclusion of 2 % and 5 % nanoparticles in the pure fluid augments the local Nusselt number, measured at the axial position 6.0, by 6.6 % and 16.3 % for a flat plate and by 5.9 % and 14.5 %, and 5.4 % and 13.3 % for the wavy surfaces with an amplitude/wavelength ratio of 0.1 and 0.2, respectively. However, when the Richardson number is increased, the local Nusselt number is found to increase but the thermal boundary layer decreases. For small values of the amplitude/wavelength ratio, the two harmonics pattern of the energy field cannot be detected by the local Nusselt number curve, however the isotherms clearly demonstrate this characteristic. The pressure leads to the first harmonic, and the buoyancy, diffusion, and inertia forces produce the second harmonic.

scholarly journals Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere

Molecules ◽  
2020 ◽  
Vol 25 (11) ◽  
pp. 2694
Author(s):  
Amir Abbas ◽  
Muhammad Ashraf ◽  
Yu-Ming Chu ◽  
Saqib Zia ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Mixed Convection ◽  
Computational Study ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Partial Differential ◽  
Primitive Form ◽  
The Mathematical Model

The main goal of the current work was to study the coupled mechanism of thermophoretic transportation and mixed convection flow around the surface of the sphere. To analyze the characteristics of heat and fluid flow in the presence of thermophoretic transportation, a mathematical model in terms of non-linear coupled partial differential equations obeying the laws of conservation was formulated. Moreover, the mathematical model of the proposed phenomena was approximated by implementing the finite difference scheme and boundary value problem of fourth order code BVP4C built-in scheme. The novelty point of this paper is that the primitive variable formulation is introduced to transform the system of partial differential equations into a primitive form to make the line of the algorithm smooth. Secondly, the term thermophoretic transportation in the mass equation is introduced in the mass equation and thus the effect of thermophoretic transportation can be calculated at different positions of the sphere. Basically, in this study, some favorite positions around the sphere were located, where the velocity field, temperature distribution, mass concentration, skin friction, and rate of heat transfer can be calculated simultaneously without any separation in flow around the surface of the sphere.

Non-uniform mass transfer in MHD mixed convection flow of water over a sphere with variable viscosity and Prandtl number

2016 ◽  
Vol 26 (7) ◽  
pp. 2235-2251 ◽  
Author(s):  
J. Rajakumar ◽  
P. Saikrishnan ◽  
A. Chamkha
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mixed Convection ◽  
Skin Friction ◽  
Variable Viscosity ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Content Type ◽  
Slot Suction

Purpose The purpose of this paper is to consider axisymmetric mixed convection flow of water over a sphere with variable viscosity and Prandtl number and an applied magnetic field. Design/methodology/approach The non-similar solutions have been obtained from the origin of the streamwise co-ordinate to the point of zero skin friction using quasilinearization technique with an implicit finite-difference scheme. Findings The effect of M is not notable on the temperature and heat transfer coefficient when λ is large. The skin friction coefficient and velocity profile are enhance with the increase of MHD parameter M when λ is small. Viscous dissipation has no significant on the skin friction coefficient under MHD effect. For M=1, the movement of the slot or slot suction or slot injection do not cause any effect on flow separation. The slot suction and the movement of the slot in downstream direction delay the point of zero skin friction for M=0. Originality/value The present results are original and new for water boundary-layer flow over sphere in mixed convection flow with MHD effect and non-uniform mass transfer. So this study would be useful in analysing the skin friction and heat transfer coefficient on sphere of mixed convection flow of water boundary layer with MHD effect.

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