scholarly journals Analytical Solution of Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Convection through Porous Media with Heat Source/Sink

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Abdel-Nasser A. Osman ◽  
S. M. Abo-Dahab ◽  
R. A. Mohamed
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Energy Equation ◽  
Radiative Heat ◽  
Physical Parameters ◽  
Governing Equations ◽  
Laplace Transform Technique ◽  
Source Sink ◽  
Rosseland Approximation ◽  
Infinite Vertical Plate

This paper analytically studies the thermal radiation and chemical reaction effect on unsteady MHD convection through a porous medium bounded by an infinite vertical plate. The fluid considered here is a gray, absorbing-emitting but nonscattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing equations are solved using Laplace transform technique. The resulting velocity, temperature and concentration profiles as well as the skin-friction, rate of heat, and mass transfer are shown graphically for different values of physical parameters involved.

scholarly journals Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature

2008 ◽  
Vol 35 (4) ◽  
pp. 323-331 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
K.E. Sathappan ◽  
R. Natarajan
Keyword(s):  
Vertical Plate ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Transfer Effects ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Heat Transfer Effects ◽  
Infinite Vertical Plate

An exact solution to the problem of flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed. The temperature of the plate is raised linearly with time t. The dimensionless governing equations are solved using Laplace-transform technique. The velocity and temperature profiles are studied for different physical parameters like thermal Grashof number Gr, time and an accelerating parameter a. It is observed that the velocity increases with increasing values of a or Gr.

scholarly journals Caputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation

2021 ◽  
Vol 85 (2) ◽  
pp. 145-158
Author(s):  
Ridhwan Reyaz ◽  
Yeou Jiann Lim ◽  
Ahmad Qushairi Mohamad ◽  
Muhammad Saqib ◽  
Sharidan Shafie
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Numerical Approach ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Fractional Partial Differential Equations ◽  
Governing Equations ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Oscillating Plate

The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter.

scholarly journals MHD FREE CONVECTION AND MASS TRANSFER FLOW PAST AN ACCELERATED VERTICAL PLATE WITH CHEMICAL REACTION IN PRESENCE OF RADIATION

2014 ◽  
Vol 44 (1) ◽  
pp. 1-8
Author(s):  
D. SARMA ◽  
N. AHMED ◽  
H. DEKA
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Equations Of Motion ◽  
Physical Parameters ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Transfer Flow ◽  
Chemical Reaction Parameter ◽  
Rosseland Approximation

This paper deals with the study of the thermal radiation and chemical reaction effects on an unsteady MHD free convective mass transfer flow past an accelerated infinite vertical plate embedded in a porous medium. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing equations of motion are solved by using Laplace transform technique in closed form. Expressions for the velocity, temperature and concentration are obtained. The resulting velocity and temperature profiles as well as the skin-friction, rate of heat and mass transfer are shown graphically for different values of the physical parameters viz., Grashof number, Prandtl number, Schmidt number, Chemical reaction parameter, Radiation parameter, Magnetic parameter and Porosity parameter.

scholarly journals Diffusion and heat transfer effects on exponentially accelerated vertical plate with variable temperature

2010 ◽  
Vol 14 (1) ◽  
pp. 73-77
Author(s):  
Rajamanickam Muthucumaraswamy ◽  
Kailasam Sathappan ◽  
Ramasamy Natarajan
Keyword(s):  
Schmidt Number ◽  
Vertical Plate ◽  
Concentration Level ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Governing Equations ◽  
Plate Temperature ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Infinite Vertical Plate

An exact solution of unsteady flow past an exponentially accelerated infinite vertical plate with variable temperature has been presented in the presence of uniform mass diffusion. The plate temperature is raised linearly with time and species concentration level near the plate is made to rise Cw. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, a and time. It is observed that the velocity increases with increasing values of a or t.

Unsteady MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Porous Plate in the Presence of Radiation and Chemical Reaction

2017 ◽  
Vol 6 (10) ◽  
pp. 116
Author(s):  
J. Buggaramulu ◽  
M. Venkatakrishna ◽  
Y. Harikrishna
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Chemical Reaction ◽  
Porous Plate ◽  
Physical Parameters ◽  
Governing Equations ◽  
Vertical Porous Plate ◽  
Flow Past ◽  
Transfer Flow

The objective of this paper is to analyze an unsteady MHD free convective heat and mass transfer boundary flow past a semi-infinite vertical porous plate immersed in a porous medium with radiation and chemical reaction. The governing equations of the flow field are solved numerical a two term perturbation method. The effects of the various parameters on the velocity, temperature and concentration profiles are presented graphically and values of skin-frication coefficient, Nusselt number and Sherwood number for various values of physical parameters are presented through tables.

Exploration of activation energy and binary chemical reaction effects on nano Casson fluid flow with thermal and exponential space-based heat source

2019 ◽  
Vol 15 (1) ◽  
pp. 227-245 ◽  
Author(s):  
Gireesha B.J. ◽  
M. Archana ◽  
B. Mahanthesh ◽  
Prasannakumara B.C.
Keyword(s):  
Activation Energy ◽  
Heat Source ◽  
Chemical Reaction ◽  
Radiative Heat ◽  
Physical Parameters ◽  
Content Type ◽  
Heat Process ◽  
Flow Past ◽  
Non Linear ◽  
Exponential Space

PurposeThe purpose of this paper is to explore the effects of binary chemical reaction and activation energy on nano Casson liquid flow past a stretched plate with non-linear radiative heat, and also, the effect of a novel exponential space-dependent heat source (ESHS) aspect along with thermal-dependent heat source (THS) effect in the analysis of heat transfer in nanofluid. Comparative analysis is carried out between the flows with linear radiative heat process and non-linear radiative heat process.Design/methodology/approachA similarity transformation technique is utilised to access the ODEs from the governed PDEs. The manipulation of subsequent non-linear equations is carried out by a well-known numerical approach called Runge–Kutta–Fehlberg scheme. Obtained solutions are briefly discussed with the help of graphical and tabular illustrations.FindingsThe effects of various physical parameters on temperature, nanoparticles volume fraction and velocity fields within the boundary layer are discussed for two different flow situations, namely, flow with linear radiative heat and flow with non-linear radiative heat. It is found that an irregular heat source/sink (ESHS and THS) and non-linear solar radiation play a vital role in the enhancement of the temperature distributions.Originality/valueThe problem is relatively original to study the effects of activation energy and binary chemical reaction along with a novel exponential space-based heat source on laminar boundary flow past a stretched plate in the presence of non-linear Rosseland radiative heat.

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 Unsteady double-diffusive natural convective MHD flow along a vertical cylinder in the presence of chemical reaction, thermal radiation and Soret and Dufour effects

2011 ◽  
Vol 8 (1) ◽  
pp. 25-36 ◽  
Author(s):  
Ali J. Chamkha ◽  
M. F. Al-Amin ◽  
Abdelraheem Aly
Keyword(s):  
Thermal Radiation ◽  
Numerical Solution ◽  
Chemical Reaction ◽  
Fluid Velocity ◽  
Vertical Cylinder ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Time Step ◽  
Soret And Dufour Effects ◽  
Double Diffusive

This work is focused on the numerical solution of unsteady double-diffusive free convective flow along a vertical isothermal cylinder in the presence of a transverse magnetic field, first-order homogeneous chemical reaction, thermal radiation and Soret and Dufour effects. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms. DOI: http://dx.doi.org/10.3329/jname.v8i1.7250

scholarly journals Radiation and Chemical Reaction Effects on Unsteady Double Diffusive Convective Flow past an Oscillating Surface with Constant Heat Flux

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Arpita Jain
Keyword(s):  
Chemical Reaction ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Constant Heat Flux ◽  
Governing Equations ◽  
Flow Past ◽  
Constant Rate ◽  
Laplace Transform Technique ◽  
Flow Variables ◽  
Transfer Flow

This paper presents an analysis of combined heat and mass transfer flow past an oscillating vertical plate under the action of radiation effects and chemical reaction when heat is supplied to the plate at constant rate. The governing equations are solved in closed form by Laplace-transform technique. The results are obtained for temperature, concentration, velocity, skin friction, Nusselt number, and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

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