MHD Natural Convective Flow of Cu-Water Nanofluid over a Past Infinite Vertical Plate with the Presence of Time Dependent Boundary Condition

In this paper, unsteady electrically conducting, incompressible, heat and mass transfer Magnetohydrodynamic free convective fluid flow with Cu-nanoparticles over a vertical plate embedded in a porous medium and variable boundary conditions are considered. The governing PDE's have been converted to non-dimensional equations then solved by FET for velocity, temperature and concentration profiles with the influence of buoyancy force due to heat and mass transfer, Prandtl and Schmidt number , time, magnetic and chemical reaction parameter in case of pure fluid and Cu-water nanofluid. The Cu-water nanofluid velocity is low than pure fluid, these are presented through graphical form . Also presented the local Skin-friction coefficient, rate of heat and mass transfer and code of validation through tabular forms.

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A Note on Variable Viscosity and Chemical Reaction Effects on Mixed Convection Heat and Mass Transfer Along a Semi-Infinite Vertical Plate

Mathematical Problems in Engineering ◽

10.1155/2007/41323 ◽

2007 ◽

Vol 2007 ◽

pp. 1-7 ◽

Cited By ~ 8

Author(s):

Mostafa A. A. Mahmoud

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Variable Viscosity ◽

Porous Plate ◽

Skin Friction Coefficient ◽

Local Skin ◽

Boundary Layer Equations ◽

Similarity Transformations ◽

Local Skin Friction

In the present study, an analysis is carried out to study the variable viscosity and chemical reaction effects on the flow, heat, and mass transfer characteristics in a viscous fluid over a semi-infinite vertical porous plate. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically by using the shooting method. The effects of different parameters on the dimensionless velocity, temperature, and concentration profiles are shown graphically. In addition, tabulated results for the local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are presented and discussed.

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Magnetohydrodynamic free convection and mass transfer flow past a vertical porous flat plate with Dufour and Soret effects

Journal of Naval Architecture and Marine Engineering ◽

10.3329/jname.v1i1.2035 ◽

1970 ◽

Vol 1 (1) ◽

pp. 18-25 ◽

Cited By ~ 1

Author(s):

Md Abdul Maleque ◽

Md Shariful Alam

Keyword(s):

Mass Transfer ◽

Free Convection ◽

Porous Plate ◽

Similarity Solutions ◽

Local Skin ◽

Electrically Conducting ◽

Local Skin Friction ◽

Porous Flat Plate ◽

Marine Engineering ◽

Transfer Flow

An analysis of free convection and mass transfer unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible fluid past an infinite vertical porous plate is presented by taking into account the Dufour and Soret effects. With a goal to attain similarity solutions of the problem posed, similarity equations are derived by introducing a time dependent length scale. The non-linear similarity equations, which are locally similar, are solved numerically using shooting method. Dimensionless velocity, temperature and concentration profiles are displayed graphically for different values of the parameters entering into the problem. Finally, the corresponding local skin-friction, local Nusselt number and local Sherwood number, which are of physical interest are tabulated. Keywords: Magnetodydrodynamic, Free convection, Mass transfer, Dufour and Soret effects. Â doi: 10.3329/jname.v1i1.2035 Journal of Naval Architecture and Marine Engineering 1(2004) 18-25

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Influence of Chemical Reaction on Heat and Mass Transfer Flow of a Micropolar Fluid over a Permeable Channel with Radiation and Heat Generation

Journal of Thermodynamics ◽

10.1155/2016/8307980 ◽

2016 ◽

Vol 2016 ◽

pp. 1-10 ◽

Cited By ~ 7

Author(s):

Khilap Singh ◽

Manoj Kumar

Keyword(s):

Heat Transfer ◽

Mass Transfer ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Heat Generation ◽

Micropolar Fluid ◽

Skin Friction Coefficient ◽

Local Skin ◽

Permeable Channel ◽

Transfer Flow

The effects of chemical reaction on heat and mass transfer flow of a micropolar fluid in a permeable channel with heat generation and thermal radiation is studied. The Rosseland approximations are used to describe the radiative heat flux in the energy equation. The model contains nonlinear coupled partial differential equations which have been transformed into ordinary differential equation by using the similarity variables. The relevant nonlinear equations have been solved by Runge-Kutta-Fehlberg fourth fifth-order method with shooting technique. The physical significance of interesting parameters on the flow and heat transfer characteristics as well as the local skin friction coefficient, wall couple stress, and the heat transfer rate are thoroughly examined.

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Non-similarity method for heat and mass transfer of MHD radiative flow over exponentially stretching sheet

Thermal Science ◽

10.2298/tsci210505309m ◽

2021 ◽

pp. 309-309

Author(s):

Muavia Mansoo ◽

Yasir Nawa ◽

Qazi ul-Hassan

Keyword(s):

Mass Transfer ◽

Fluid Flow ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Skin Friction Coefficient ◽

Physical Parameters ◽

Local Skin ◽

Exponentially Stretching Sheet ◽

Prandtl Numbers ◽

Exponentially Stretching

In this paper a modification of existing mathematical model of MHD radiative incompressible fluid flow over exponentially stretching sheet is given by accumulating equation of mass transfer under an influence of chemical reaction. Using local non-similarity variables method, governing equations for heat and mass transfer of viscous fluid flow are efficiently remodeled into the system of dimensionless partial differential equations (PDEs), and later on the obtained system of dimensionless PDEs is tackled numerically using MATLbuilt in solver bvp4c. Graphs of temperature, velocity and concentration profiles are explained through variation of different values of physical parameters. Significant effects of several parameters, for example radiation and magnetic parameters, Eckert and Prandtl numbers on local skin-friction coefficient, local Nusselt and Sherwood numbers are computed in tabular form

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Unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate: A numerical study

Thermal Science ◽

10.2298/tsci101102002p ◽

2011 ◽

Vol 15 (suppl. 2) ◽

pp. 291-305 ◽

Cited By ~ 12

Author(s):

Vallampati Prasad ◽

Buddakkagari Vasu ◽

Bég Anwar ◽

Rana Parshad

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Schmidt Number ◽

Chemical Engineering ◽

Vertical Plate ◽

Numerical Study ◽

Momentum Conservation ◽

Conservation Equation ◽

Local Skin ◽

Infinite Vertical Plate

A numerical solution for the free convective, unsteady, laminar convective heat and mass transfer in a viscoelastic fluid along a semi-infinite vertical plate is presented. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. This rheological model introduces supplementary terms into the momentum conservation equation. The dimensionless unsteady, coupled and non-linear partial differential conservation equations for the boundary layer regime are solved by an efficient, accurate and unconditionally stable finite difference scheme of the Crank-Nicolson type. The velocity, temperature and concentration fields have been studied for the effect of Prandtl number (Pr), viscoelasticity parameter (G), Schmidt number (Sc), Buoyancy ration parameter (N). The local skin-friction, Nusselt number and Sherwood number are also presented and analyzed graphically. It is observed that, when the viscoelasticity parameter (G) increases, the velocity increases close to the plate surface. An increase in Schmidt number is observed to significantly decrease both velocity and concentration.

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MHD Free Convective Heat and Mass Transfer of a Chemically-Reacting Fluid from Radiate Stretching Surface Embedded in a Saturated Porous Medium

International Journal of Chemical Reactor Engineering ◽

10.1515/1542-6580.2501 ◽

2011 ◽

Vol 9 (1) ◽

Cited By ~ 1

Author(s):

A.M. Rashad ◽

M. Modather M. Abdou ◽

Ali Chamkha

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Convective Heat ◽

Saturated Porous Medium ◽

Skin Friction Coefficient ◽

Electrically Conducting ◽

Chemically Reacting ◽

Thermal Radiation Effect

Magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible, electrically conducting and chemically-reacting fluid adjacent to a vertical stretching sheet embedded in a saturated porous medium in the presence of a thermal radiation effect are investigated. The sheet is linearly stretched with uniform constant of temperature and concentration. The governing partial differential equations are transferred into a system of ordinary differential equations, which are solved numerically using a fourth order Runge-Kutta scheme with the shooting method. The effects of various parameters entering into the problem have been examined on the velocity and temperature profiles as well as the skin-friction coefficient, and Nusselt and Sherwood numbers are presented graphically and in tabular form.

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Coupled heat and mass transfer by MHD natural convection of micropolar fluid about a truncated cone in the presence of radiation and chemical reaction

Journal of Naval Architecture and Marine Engineering ◽

10.3329/jname.v10i2.15898 ◽

2013 ◽

Vol 10 (2) ◽

pp. 157-168 ◽

Cited By ~ 3

Author(s):

Ali J. Chamkha ◽

S.M.M. EL-Kabeir ◽

A.M. Rashad

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Micropolar Fluid ◽

Skin Friction Coefficient ◽

Convective Boundary ◽

Local Skin ◽

Truncated Cone ◽

Variable Surface ◽

Special Cases

An analysis is performed to study the thermal radiation and chemical reaction effects on coupled heat and mass transfer by MHD natural convective boundary-layer flow of a micropolar fluid over a permeable truncated cone with variable surface temperature and concentration. A suitable set of dimensionless variables is used to transform the governing equations of the problem into a non-similar form. The resulting non-similar equations have the property that they reduce to various special cases previously considered in the literature. An adequate and efficient implicit, tri-diagonal finite difference scheme is employed for the numerical solution of the obtained equations. Various comparisons with previously published work are performed and the results are found to be in excellent agreement. A representative set of numerical results for the velocity, microrotation, temperature and concentration profiles as well as the local skin-friction coefficient, local wall couple stress, local Nusselt number and the local Sherwood number is presented graphically for various parametric conditions and discussed.DOI: http://dx.doi.org/10.3329/jname.v10i2.15898

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Non-Similar Solutions for Heat and Mass Transfer from a Surface Embedded in a Porous Medium for Two Prescribed Thermal and Solutal Boundary Conditions

International Journal of Chemical Reactor Engineering ◽

10.2202/1542-6580.2006 ◽

2010 ◽

Vol 8 (1) ◽

Author(s):

Abdelraheem Mahmoud Aly ◽

Ali Chamkha

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Boundary Conditions ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Saturated Porous Medium ◽

Skin Friction Coefficient ◽

Local Skin ◽

Boundary Layer Equations ◽

Transient free convection heat and mass transfer of Casson nanofluid over a vertical porous plate subjected to magnetic field and thermal radiation

Engineering and Applied Science Letters ◽

10.30538/psrp-easl2020.0050 ◽

2020 ◽

Vol 3 (4) ◽

pp. 35-54 ◽

Cited By ~ 1

Author(s):

M. G. Sobamowo ◽

Keyword(s):

Mass Transfer ◽

Nusselt Number ◽

Free Convection ◽

Thermal Radiation ◽

Heat And Mass Transfer ◽

Schmidt Number ◽

Casson Fluid ◽

Local Skin ◽

Local Skin Friction ◽

Buoyancy Ratio

In this present study, the transient magnetohydrodynamics free convection heat and mass transfer of Casson nanofluid past an isothermal vertical flat plate embedded in a porous media under the influence of thermal radiation is studied. The governing systems of nonlinear partial differential equations of the flow, heat and mass transfer processes are solved using implicit finite difference scheme of Crank-Nicolson type. The numerical solutions are used to carry out parametric studies. The temperature as well as the concentration of the fluid increase as the Casson fluid and radiation parameters as well as Prandtl and Schmidt numbers increase. The increase in the Grashof number, radiation, buoyancy ratio and flow medium porosity parameters causes the velocity of the fluid to increase. However, the Casson fluid parameter, buoyancy ratio parameter, the Hartmann (magnetic field parameter), Schmidt and Prandtl numbers decrease as the velocity of the flow increases. The time to reach the steady state concentration, the transient velocity, Nusselt number and the local skin-friction decrease as the buoyancy ratio parameter and Schmidt number increase. Also, the steady-state temperature and velocity decrease as the buoyancy ratio parameter and Schmidt number increase. Also, the local skin friction, Nusselt and Sherwood numbers decrease as the Schmidt number increases. However, the local Nusselt number increases as the buoyancy ratio parameter increases. It was established that near the leading edge of the plate), the local Nusselt number is not affected by both buoyancy ratio parameter and Schmidt number. It could be stated that the present study will enhance the understanding of transient free convection flow problems under the influence of thermal radiation and mass transfer as applied in various engineering processes.

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