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 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 Non-Coaxially Rotating Motion in Casson Martial along with Temperature and Concentration Gradients via First-Order Chemical Reaction

Energies ◽  
2021 ◽  
Vol 14 (22) ◽  
pp. 7784
Author(s):  
Noman Jabbar ◽  
Muhammad Bilal Hafeez ◽  
Sameh Askar ◽  
Umar Nazir
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Casson Fluid ◽  
Buoyant Force ◽  
First Order ◽  
Order Chemical Reaction ◽  
Secondary Velocity ◽  
First Order Chemical Reaction ◽  
Primary Velocity ◽  
The Impact

The effect of non-coaxial rotation on the transport of mass subjected to first-order chemical reaction is studied analytically. The effects of thermal radiation, buoyancy, constructive and destructive chemical reactions along with Casson fluid in rotating frame are discussed. Time evolution of primary and secondary velocities, energy and solute particles are analyzed. The behavior of flow under the variation of intensity of magnetic field is also investigated. Evolutionary behavior of primary velocity is opposite to the evolutionary behavior of secondary velocity. The impact of buoyant force on primary velocity is opposite to the role of buoyant force on the secondary velocity. The evolutionary behavior of temperature is also examined and a remarkable enhancement in temperature is noticed. Thermal radiation causes the fluid to be cooled down as heat energy is escaped by thermal radiation. Evolutionary behavior of concentration is also analyzed and an increasing of concentration versus time is noted. Destructive chemical reaction results a remarkable reduction in the concentration and vice versa for generative chemical reaction.

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.

Dissipative effects on a chemically and thermally radiative heat fluid flow past a shrinking porous sheet

2020 ◽  
pp. 1-14
Author(s):  
A. Shahid ◽  
M. Ali Abbas ◽  
H.L. Huang ◽  
S.R. Mishra ◽  
M.M. Bhatti
Keyword(s):  
Fluid Flow ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Linearization Method ◽  
Surface Drag ◽  
Suction Parameter ◽  
Similarity Transformations ◽  
Dissipative Effects ◽  
Successive Linearization Method

The present study analyses the dissipative influence into an unsteady electrically conducting fluid flow embedded in a pervious medium over a shrinkable sheet. The behavior of thermal radiation and chemical reactions are also contemplated. The governing partial differential equations are reformed to ordinary differential equations by operating similarity transformations. The numerical outcomes for the arising non-linear boundary value problem are determined by implementing the Successive linearization method (SLM) via Matlab software. The velocity, temperature, and concentration magnitudes for distant values of the governing parametric quantities are conferred, and their conduct is debated via graphical curves. The surface drag coefficient increases, whereas the local Nusselt number and Sherwood number decreases for enhancing unsteadiness parameter across suction parameter. Moreover, the magnetic and suction parameters accelerate velocity magnitudes while by raising porosity parameter, velocity decelerates. Larger numeric of thermal radiation parameter and Eckert number accelerates the temperature profile while by enhancing Prandtl number it decelerates. Schmidt number and chemical reaction parameters slowdowns the concentration distribution, and the chemical reaction parameter influences on the point of chemical reaction that benefits the interface mass transfer. It is expected that the current achieved results will furnish fruitful knowledge in industrious utilities.

Nonlinear thermal radiation and chemical reaction effects on Maxwell fluid flow with convectively heated plate in a porous medium

2018 ◽  
Vol 48 (2) ◽  
pp. 744-759 ◽  
Author(s):  
Kh. Hosseinzadeh ◽  
M. Gholinia ◽  
B. Jafari ◽  
A. Ghanbarpour ◽  
H. Olfian ◽  
...  
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Maxwell Fluid ◽  
Nonlinear Thermal Radiation ◽  
Heated Plate
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