Insight into the significance of ramped wall temperature and ramped surface concentration: The case of Casson fluid flow on an inclined Riga plate with heat absorption and chemical reaction

2021 ◽  
Vol 10 (1) ◽  
pp. 213-230
Author(s):  
Kanayo K. Asogwa ◽  
Sardar M. Bilal ◽  
Isaac L. Animasaun ◽  
Fateh M. Mebarek-Oudina
Keyword(s):  
Fluid Flow ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Surface Concentration ◽  
Casson Fluid ◽  
Heat Absorption ◽  
Governing Equations ◽  
Riga Plate ◽  
The Impact

Abstract The importance of heat absorption and chemical reactions and their impact in engineering is increasingly appreciated. However, little is known about the effect of chemical reaction and heat absorption of ramped wall temperature and ramped surface concentration on a Casson fluid flow over a rapidly accelerated inclined Riga plate. The aim of the study, among other findings along an inclined Riga plate, is to address the impact of heat sink and chemical reaction over a ramped temperature and ramped surface concentration. By introducing relevant similarity variables, the dimensional governing equations are non-dimensionalized and parameterized. After that, the derived parameterized governing equations are solved analytically using the Laplace transform method. Graphs are used to discuss and analyse the effects of various physical parameters on momentum, energy, and concentration. The latest findings are verified by comparing them to previous results. Tables are also used to determine skin friction, Nusselt number, and Sherwood number expressions. Comparatively, it's worth noting that chemical reaction, Casson, and heat absorption parameters tend to escalate Skin friction for both ramped temperature and ramped surface concentration. Moreso, an increase in the chemical reaction and heat absorption parameters induces a decrease in the momentum distribution.

scholarly journals Study of Radiation, Reaction and Parabolic Motion Effects on MHD Casson Fluid Flow with Ramped Wall Temperature

10.29007/g5p6 ◽  
2018 ◽  
Author(s):  
Harshad Patel ◽  
Hari Kataria
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Casson Fluid ◽  
Reaction Parameter ◽  
Radiation Chemical ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Chemical Reaction Parameter

This article studies effect of thermal radiation, chemical reaction and parabolic motion on the unsteady MHD Casson fluid flow past an infinite vertical plate embedded with ramped wall temperature. The fluid is electrically conducting and passing through a porous medium. This phenomenon is modeled in the form of partial differential equations with initial and boundary conditions. Some suitable non-dimensional variables are introduced and corresponding dimensionless equations are solved using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration profiles are obtained. The features of the velocity, temperature and concentration are analyzed by plotting graphs and the physical aspects are studied for different parameters like the magnetic field parameter M, thermal radiation parameter R, chemical reaction parameter〖 R〗^', thermal Grashof number Gr, mass Grashof number Gm, Schmidt number Sc, Prandtl number Pr and time variable t. It is seen that velocity profiles decrease with increase in thermal radiation R and chemical reaction parameter〖 R〗^'.

scholarly journals Analytical Solution for Impact of Caputo-Fabrizio Fractional Derivative on MHD Casson Fluid with Thermal Radiation and Chemical Reaction Effects

2022 ◽  
Vol 6 (1) ◽  
pp. 38
Author(s):  
Ridhwan Reyaz ◽  
Ahmad Qushairi Mohamad ◽  
Yeou Jiann Lim ◽  
Muhammad Saqib ◽  
Sharidan Shafie
Keyword(s):  
Fluid Flow ◽  
Analytical Solution ◽  
Thermal Radiation ◽  
Fractional Derivative ◽  
Chemical Reaction ◽  
Fractional Derivatives ◽  
Experimental Studies ◽  
Fluid Flows ◽  
Casson Fluid ◽  
The Impact

Fractional derivatives have been proven to showcase a spectrum of solutions that is useful in the fields of engineering, medical, and manufacturing sciences. Studies on the application of fractional derivatives on fluid flow are relatively new, especially in analytical studies. Thus, geometrical representations for fractional derivatives in the mechanics of fluid flows are yet to be discovered. Nonetheless, theoretical studies will be useful in facilitating future experimental studies. Therefore, the aim of this study is to showcase an analytical solution on the impact of the Caputo-Fabrizio fractional derivative for a magnethohydrodynamic (MHD) Casson fluid flow with thermal radiation and chemical reaction. Analytical solutions are obtained via Laplace transform through compound functions. The obtained solutions are first verified, then analysed. It is observed from the study that variations in the fractional derivative parameter, α, exhibits a transitional behaviour of fluid between unsteady state and steady state. Numerical analyses on skin friction, Nusselt number, and Sherwood number were also analysed. Behaviour of these three properties were in agreement of that from past literature.

scholarly journals Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration in uniform magnetic field

2020 ◽  
Vol 9 (2) ◽  
pp. 89
Author(s):  
Ch. Vijaya Bhaskar ◽  
Siva Reddy Sheri ◽  
Anjan Kumar Suram
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Numerical Analysis ◽  
Wall Temperature ◽  
Present Method ◽  
Uniform Magnetic Field ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Surface Concentration ◽  
Casson Fluid

<div data-canvas-width="162.73488208022576">Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration has investigated in the current investigation. The flow governing dimensional velocity, temperature and concentration differential equations are converted into non dimensional form by using non-dimensional variables. Numerical solutions to the converted equations are obtained by finite element method. The results are presented graphically and in tabular form for various controlling parameters. In order to highlig ht the validity and accuracy of our present method, we have compared our results with the results obtained earlier. A very good validation of the present numerical results has been achieved</div><div>.</div>

Magnetohydrodynamics Boundary Layer Slip Casson Fluid Flow over a Dissipated Stretched Cylinder

2019 ◽  
Vol 393 ◽  
pp. 73-82 ◽  
Author(s):  
M. Krishna Murthy ◽  
Chakravarthula S.K. Raju ◽  
V. Nagendramma ◽  
S.A. Shehzad ◽  
Ali J. Chamkha
Keyword(s):  
Boundary Layer ◽  
Fluid Flow ◽  
Skin Friction ◽  
Fluid Model ◽  
Fluid Velocity ◽  
Casson Fluid ◽  
Moving Cylinder ◽  
Casson Fluid Model ◽  
Mhd Boundary Layer ◽  
The Impact

Magnetohydrodynamics (MHD) boundary layer slip Casson fluid flow over a dissipated moving cylinder is explored. Casson fluid model is employed as a non-Newtonian material that demonstrates the phenomenon of yield stress. Blood material is considered to be an example of Casson liquid. The non-linear partial differential quantities are transformed into expressions of ordinary derivatives through transformation of similarity variables. These equations are computed for numeric solutions by using Runge-Kutta method along with shooting scheme. The impact of pertinent constraints on the fluid velocity and temperature are examined through graphs. The coefficient of the skin friction and the rate of heat transfer are found numerically. Comparing of the present study with the earlier results is also presented. We observed that the coefficient of skin friction increases for higher values of Hartmann number.

scholarly journals Computational exploration of Casson fluid flow over a Riga-plate with variable chemical reaction and linear stratification

2020 ◽  
Vol 25 (3) ◽  
Author(s):  
Parasuraman Loganathan ◽  
Krishnamurthy Deepa
Keyword(s):  
Fluid Flow ◽  
Chemical Reaction ◽  
Mass Transfer Rate ◽  
Casson Fluid ◽  
Computational Exploration ◽  
Variable Chemical ◽  
Riga Plate ◽  
Contour Plots ◽  
Finite Difference Solution ◽  
Chemical Reaction Parameter

Simulation of electro-magneto-hydrodynamic Casson fluid flow subject to cross stratification and variable chemical reaction is exemplified numerically. The model, which is governed by the system of partial differential equations, accomplishes the implicit finite difference solution. The variable chemical reaction enables the study to investigate an exponentially varying reaction rate along the stratified flow. Further, the mesh-contour plots impart the precise visualization of flow field in 3D and its projection as contour on XY -plane. The stronger chemical reaction parameter improves the temperature and mass transfer rate. The consistency of the results is affirmed by the correlation with results arising in the literature.

EMHD time-dependant tangent hyperbolic nanofluid flow by a convective heated Riga plate with chemical reaction

2018 ◽  
Vol 233 (4) ◽  
pp. 776-786 ◽  
Author(s):  
A Mahdy ◽  
GA Hoshoudy
Keyword(s):  
Boundary Condition ◽  
Brownian Motion ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Slip Boundary Condition ◽  
Negative Influence ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Riga Plate ◽  
Linear Differential

The present exploration addresses the boundary layer electro-magnetohydrodynamic (EMHD) flow of time-dependant non-Newtonian tangent hyperbolic nanofluid that is electrically conducting past a Riga surface with variable thickness and slip boundary condition. Configuration flow modeling is deduced considering chemical reaction and heat generation/absorption with the impacts of Brownian motion and thermophoresis. Also a newly proposed boundary condition with zero mass flux has been presented in the current contribution. Numerical solution of the governing non-linear differential equations is presented by considering the shooting technique. Graphical illustrations pointing out the aspects of distinct physical parameters on the non-Newtonian nanofluid velocity, temperature and concentration fields are introduced. From the computational results, the concentration distribution gives a decreasing function of the chemical reaction and Brownian motion parameters. Higher values of shape parameter yield a negative influence on the mechanical properties of the surface. The Hartmann number leads to maximize both of velocity field and skin friction coefficient. Additionally, numerical computed values of the skin friction, local Nusselt and Sherwood numbers are depicted with the needful discussion.

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