scholarly journals Magnetohydrodynamics Free Convection Flow of Incompressible Fluids over Corrugated Vibrating Bottom Surface with Hall Currents and Heat and Mass Transfers

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Vincent M. Bulinda ◽  
Giterere P. Kang’ethe ◽  
Phineas R. Kiogora
Keyword(s):  
Free Convection ◽  
Incompressible Fluids ◽  
Bottom Surface ◽  
Convection Flow ◽  
Physical Parameters ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Finite Difference Numerical Method ◽  
Explicit Finite Difference ◽  
Mass Transfers

Magnetohydrodynamics free convection flow of incompressible fluids over corrugated vibrating bottom surface with Hall currents and heat and mass transfers considering heat flux is discussed. The corrugation patterns suggested are sinusoidal in nature. The governing equations are solved by the explicit finite difference numerical method of the forward-time backward-space scheme to obtain the analytical results for velocity, concentration, and temperature profiles. The unsteady resultant velocities, concentration, and temperature for various values of physical parameters are discussed in detail, and it is shown that they have significant effects on the fluid flow, and heat and mass transfers are shown graphically.

The Effects of Radiation on Free Convection Flow with Ramped Wall Temperature in Brinkman Type Fluid

2013 ◽  
Vol 62 (3) ◽  
Author(s):  
Muhamad Najib Zakaria ◽  
Abid Hussanan ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Nusselt Number ◽  
Free Convection ◽  
Laplace Transform ◽  
Vertical Plate ◽  
Convection Flow ◽  
Physical Parameters ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
Effects Of Radiation

The present paper is on study of the influence of radiation on unsteady free convection flow of Brinkman type fluid near a vertical plate containing a ramped temperature profile. Using the appropriate variables, the basic governing equations are reduced to nondimensional equations valid with the imposed initial and boundary conditions. The exact solutions are obtained by using Laplace transform technique. The influence of radiation near a ramped temperature plate is also compared with the flow near a plate with constant temperature. The numerical computations are carried out for various values of the physical parameters such as velocity, temperature, skin friction and Nusselt number and presented graphically.

scholarly journals Effect of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate

2021 ◽  
pp. 58-71
Author(s):  
Sree Pradip Kumer Sarker ◽  
Md. M. Alam
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Flat Plate ◽  
Variable Viscosity ◽  
Convection Flow ◽  
Physical Parameters ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Local Skin ◽  
Vertical Flat Plate

Free convection flow around a heated vertical flat plate in the presence of a magnetic field is very important from the technical standpoint, and several researchers have studied this issue. The effects of variable viscosity and thermal conductivity on Magneto-Hydrodynamics (MHD) free convection flow over an isothermal vertical plate immersed in a fluid with heat conduction will be studied in this study. The two-dimensional, laminar, and unsteady boundary layer equations are considered in this paper. Using relevant variables, simple governing equations are transformed into non-dimensional governing equations. The implicit finite difference scheme, also known as the Crank-Nicolson scheme, is used to solve these equations numerically. This research looks at viscous incompressible fluids with temperature-dependent viscosity and thermal conductivity. The effect of various parameters on velocity, temperature, local skin friction, and local heat transfer coefficient profiles will be shown in this study, and the results will be compared to those of other researchers. The current numerical results will be compared to the results of previously published works. Figures from the current thesis will be compared to those from previously published works. The outcomes result will be shown in graphs for various values of relevant physical parameters.

scholarly journals Porosity effect on unsteady MHD free convection flow of Jeffrey fluid past an oscillating vertical plate with ramped wall temperature

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Nor Athirah Mohd Zin ◽  
Ahmad Qushairi Mohamad ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Free Convection ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Dimensionless Time ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Permeability Parameter ◽  
The Impact

The unsteady magnetohydrodynamic (MHD) free convection flow of Jeffrey fluid embedded in porous medium past an oscillating vertical plate generated by thermal radiation with ramped wall temperature is investigated. The incompressible fluid is taken electrically conducting under the action of transverse magnetic field towards the flow. Constitutive relation of Jeffrey fluid is employed to model the governing equations in terms of partial differential equations with some physical conditions. The transformed dimensionless governing equations are solved analytically using Laplace transform technique. The impact of various pertinent parameters namely material parameter of Jeffrey fluid , dimensionless parameter of Jeffrey fluid , phase angle , Hartmann number , permeability parameter , Grashof number , Prandtl number , radiation parameter  and dimensionless time  on velocity and temperature distributions are presented graphically and discussed in details. It is observed that, the permeability parameter tend to retard the fluid velocity for ramped wall temperature but enhance the velocity for an isothermal plate. Besides that, this study shows, the amplitude of velocity and temperature fields for ramped wall temperature are always lower than isothermal plate. A comparison with the existing published work is also provided to confirm the validity of the present results and an excellent agreement are found. 

scholarly journals Free Convection MHD Flow with Thermal Radiation from an Impulsively-Started Vertical Plate

2009 ◽  
Vol 14 (1) ◽  
pp. 73-84 ◽  
Author(s):  
G. Palani ◽  
I. A. Abbas
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Convection Flow ◽  
Combined Effects ◽  
The Finite Element Method ◽  
Scattering Medium ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Convection Regime

This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation. The fluid considered is a gray, absorbingemitting radiation but a non-scattering medium, with approximate transformations the boundary layer governing the flow are reduced to non-dimensional equations valid in the free convection regime. The dimensionless governing equations are solved by the finite element method.

One Dimensional Mass Transfer Effects on Transient Free Convection Flow with Vertical Porous Plate

2019 ◽  
Vol 11 (12) ◽  
pp. 1249-1260
Author(s):  
M. Hasan ◽  
R. Biswas ◽  
M. Mondal ◽  
S. F. Ahmmed ◽  
Kazi Shanchia
Keyword(s):  
Mass Transfer ◽  
Free Convection ◽  
Porous Plate ◽  
Main Tool ◽  
Transient Temperature ◽  
Convection Flow ◽  
Free Convection Flow ◽  
One Dimensional ◽  
Vertical Porous Plate ◽  
Explicit Finite Difference

The aspiration of the mechanism is the impacts of radiation and mass transfer on the transient free convection flow of a dissipative fluid with the vertical Porous plate by taking into a consideration of the viscous dissipation. The governing equations for the one-dimensional model are solved with proper boundary conditions. The radiative heat transfer in the limit of the optically thick fluid is described. The momentum coupled equation with the energy and mass diffusion equations are solved by explicit finite difference method (EFDM). For Tran programming language is used as the main tool for calculating the simulating results. A parametric evaluation displaying the influence of distinct flow parameters on velocity profile, transient temperature and concentration are outlined graphically with the help of tecplot-9. Finally, a comparison of the present study with the previous study has been deliberated for different interesting parameters.

scholarly journals Aligned Magnetic Field, Radiation, and Rotation Effects on Unsteady Hydromagnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Sandeep Naramgari ◽  
Sugunamma Vangala ◽  
Mohankrishna Penem
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Porous Medium ◽  
Free Convection ◽  
Vertical Plate ◽  
Convection Flow ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Field Radiation ◽  
Aligned Magnetic Field

We analyse the effects of aligned magnetic field, radiation, and rotation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving vertical plate in a porous medium in presence of heat source. An exact solution of the governing equations in dimensionless form is obtained by Laplace transform technique in ramped temperature case. To compare the results obtained in this case with that of isothermal plate, the exact solution of the governing equations is also obtained for isothermal plate and results are discussed graphically in both ramped temperature and isothermal cases.

scholarly journals Heat and Mass Transfer of Unsteady Hydromagnetic Free Convection Flow Through Porous Medium Past a Vertical Plate with Uniform Surface Heat Flux

2017 ◽  
Vol 47 (3) ◽  
pp. 25-58 ◽  
Author(s):  
Mohamed Abd El-Aziz ◽  
Aishah S. Yahya
Keyword(s):  
Mass Transfer ◽  
Heat Flux ◽  
Porous Medium ◽  
Free Convection ◽  
Heat And Mass Transfer ◽  
Transport Model ◽  
Convection Flow ◽  
Physical Parameters ◽  
Free Convection Flow ◽  
Laplace Transform Technique

AbstractSimultaneous effects of thermal and concentration diffusions in unsteady magnetohydrodynamic free convection flow past a moving plate maintained at constant heat flux and embedded in a viscous fluid saturated porous medium is presented. The transport model employed includes the effects of thermal radiation, heat sink, Soret and chemical reaction. The fluid is considered as a gray absorbing-emitting but non-scattering medium and the Rosseland approximation in the energy equations is used to describe the radiative heat flux for optically thick fluid. The dimensionless coupled linear partial differential equations are solved by using Laplace transform technique. Numerical results for the velocity, temperature, concentration as well as the skin friction coefficient and the rates of heat and mass transfer are shown graphically for different values of physical parameters involved.

scholarly journals Functional Application of G-Functions of Lorenzo and Hartley on the Free Convection Flow of Oldroyd-B Fluid with Ordinary and Fractional Techniques

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Imran Siddique ◽  
Sehrish Ayaz ◽  
Dalal Alrowaili ◽  
Sohaib Abdal
Keyword(s):  
Free Convection ◽  
Fourier Transforms ◽  
Special Functions ◽  
Rectangular Channel ◽  
Convection Flow ◽  
Physical Parameters ◽  
Free Convection Flow ◽  
Closed Form Solutions ◽  
Generalized Boundary Conditions ◽  
Short Time

In this article, free convection flow of an Oldroyd-B fluid (OBF) through a vertical rectangular channel in the presence of heat generation or absorption subject to generalized boundary conditions is studied. The fractionalized mathematical model is established by Caputo time-fractional derivative through mechanical laws (generalized shear stress constitutive equation and generalized Fourier’s law). Closed form solutions for the velocity and temperature profiles are obtained via Laplace coupled with sine-Fourier transforms and have been embedded with regards to the special functions, namely, the generalized G-functions of Lorenzo and Hartley. Solutions of the known results from recently published work (Nehad et al. Chin. J. Phy., 65, (2020) 367–376) are recovered as limiting cases. Finally, the effects of fractional and various physical parameters are graphically underlined. Furthermore, a comparison between Oldroyd-B, Maxwell and viscous fluids (fractional and ordinary) is depicted. It is found that, for short time, ordinary fluids have greater velocity as compared to the fractional fluids.

scholarly journals Unsteady Free Convection Flow of Nanofluids between Vertical Oscillating Plates with Mass Diffusion

2020 ◽  
Vol 76 (2) ◽  
pp. 118-131
Author(s):  
Fasihah Zulkiflee ◽  
Sharidan Shafie ◽  
Ahmad Qushairi Mohamad
Keyword(s):  
Free Convection ◽  
Schmidt Number ◽  
Volume Fraction ◽  
Mass Diffusion ◽  
Convection Flow ◽  
Concentration Profiles ◽  
Parallel Plates ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Nanoparticles Volume Fraction

In this paper, free convection of nanofluids flow with oscillating vertical parallel plates and mass diffusion were considered. Obtained equations were converted into ordinary differential equations with appropriate transformations. Method of Laplace transform was used to find the exact solutions of velocity, temperature and concentration profiles from the dimensionless governing equations. Discussion of graph pertaining to different embedded parameters such as Prandtl number, Schmidt number, Grashof and mass Grashof number, oscillating parameter and nanoparticles volume fraction parameter was also added. Skin friction, Nusselt and Sherwood number were also discussed and deliberated.

scholarly journals Transient Natural Convection Flow of Thermomicropolar Fluid of Micropolar Thermal Conductivity along a Nonuniformly Heated Vertical Surface

2014 ◽  
Vol 6 ◽  
pp. 141437
Author(s):  
Md. Mosharof Hossain ◽  
N. C. Roy ◽  
A. C. Mandal ◽  
M. A. Hossain
Keyword(s):  
Heat Conduction ◽  
Velocity Profiles ◽  
Vertical Surface ◽  
Convection Flow ◽  
Convection Boundary Layer ◽  
Physical Parameters ◽  
Governing Equations ◽  
Layer Flow ◽  
Explicit Finite Difference ◽  
Stream Function Formulation

The unsteady free convection boundary layer flow of a thermomicropolar fluid along a vertical plate with effect of micropolar heat conduction has been investigated. The governing equations are transformed into a new form using a method of transformed coordinates. We then use an explicit finite difference scheme to solve the transformed equations. Here, the governing equations have been reduced to the forms that are valid for entire, small, and large time regimes, by using stream-function formulation. The results obtained for the above mentioned three time regimes are compared and found to be in excellent agreement. Moreover, the effects of the physical parameters such as the viscosity parameter, K, and the heat conduction parameter, α*, are presented in terms of the transient shear stress, couple stress, and surface heat transfer coefficient as well as transient velocity profiles, angular velocity profiles, and temperature profiles.

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