Thermal radiation and diffusion effects in MHD Williamson and Casson fluid flows past a slendering stretching surface

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.

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The Effect of Chemical Reaction, and Thermal Radiation on Magnetohydrodynamic Casson Fluid Flow over Non-linearly Stretching Surface with Suction

Asian Research Journal of Mathematics ◽

10.9734/arjom/2017/31013 ◽

2017 ◽

Vol 2 (2) ◽

pp. 1-23

Author(s):

Bhim Kala

Keyword(s):

Fluid Flow ◽

Thermal Radiation ◽

Chemical Reaction ◽

Casson Fluid ◽

Stretching Surface

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MHD boundary layer slip flow of a casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction

Journal of Naval Architecture and Marine Engineering ◽

10.3329/jname.v13i2.23537 ◽

2016 ◽

Vol 13 (2) ◽

pp. 165-177 ◽

Cited By ~ 2

Author(s):

P. Bala Anki Reddy

Keyword(s):

Boundary Layer ◽

Differential Equations ◽

Thermal Radiation ◽

Ordinary Differential Equations ◽

Casson Fluid ◽

Stretching Surface ◽

Linear Ordinary Differential Equations ◽

Non Linear ◽

Exponentially Stretching Surface ◽

Exponentially Stretching

An analysis is carried out to investigate the steady two-dimensional magnetohydrodynamic boundary layer flow of a Casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction. Velocity, thermal and solutal slips are considered instead of no-slip conditions at the boundary. Stretching velocity, wall temperature and wall concentration are considered in the exponential forms. The non-linear partial differential equations are converted into a system of non-linear ordinary differential equations by similarity transformations. The resultant non-linear ordinary differential equations are solved numerically by fourth order Runge-Kutta method along with shooting technique. The influence of various parameters on the fluid velocity, temperature, concentration, wall skin friction coefficient, the heat transfer coefficient and the Sherwood number have been computed and the results are presented graphically and discussed quantitatively. Comparisons with previously published works are performed on various special cases and are found to be in excellent agreement.

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