Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

Abstract

In this communication, bidirectional flow of Casson nanomaterial driven by an unsteady moveable surface in the region of boundary layer is analyzed. Moreover, the significances of porous space, magnetic field, prescribed surface temperature (PST), and prescribed surface heat flux are also incorporated. Furthermore, the aspects of Brownian motion and thermophoresis are also comprised through Buongiorno nanofluid model. Governing equations are firstly transformed into system of ordinary differential equations by using a suitable combination of variables, and then computational assessment is made through Keller-Box method. Graphical illustrations for temperature distribution, concentration distribution, local Nusselt number and local Sherwood number against escalating amounts of pertinent parameters are presented. It is observed that escalating amounts of unsteady parameter and temperature controlled indices reduce the temperature distribution, as well as the concentration distribution. It is also observed that increasing amounts of Casson parameter enhances the rate of heat transfer, and reduces the rate of mass transfer for PST case. Finally, a comparison benchmark for limited case has been presented to validate the present methodology. Keywords Casson nanofluid • Eckert number • Keller-Box method • MHD • Porous medium • Prescribed heat sources • Unsteady bi-directional stretching List of symbols a, b, c Stretching rates (s −1) B o Magnitude of magnetic force (kg s −2 A −1) C Concentration (kg m −3) c f Specific heat of liquid (m 2 s −2 K −1) c p Specific heat of nanomaterial (m 2 s −2 K −1) C ∞ Ambient concentration (kg m −3) C w Surface concentration (kg m −3) C fx , C fy Skin-friction coefficients (-) D B Brownian coefficient (m 2 s −1) D T Thermophoresis coefficient (m 2 s −1) Ec x , Ec y Eckert numbers (-) f , g Similarity functions for velocity (-) h j Step size for grids (m) j Suffix (-)

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“…While the Nusselt number indicates a ten percent drop. Faisal et al 16 discussed the boundary layer flow of a Casson nanofluid driven by a moving surface. They found that for a given prescribed surface temperature, higher levels of the Casson parameter increase heat transport and deplete mass transfer.…”

Dynamics of copper–water nanofluid with the significance of prescribed thermal conditions

“…For the simplification of the physical problem, homogenous nanofluid model is used. Due to this model, a set of four ordinary nonlinear equations are obtained by using a suitable combination of variables and then the Keller–Box method (KBM; see References [33‐44]) is applied to get the numerical solution for temperature and velocity profiles. The behavior of various involved constraints on the physical quantities has been examined.…”

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