Biomedical aspects of entropy generation on electromagnetohydrodynamic blood flow of hybrid nanofluid with nonlinear the
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Biomedical aspects of entropy generation on electromagnetohydrodynamic blood flow of hybrid nanofluid with nonlinear thermal radiation and non-uniform heat source/sink Polu Bala Anki Reddya Department of Mathematics, S.A.S., Vellore Institute of Technology, Vellore 632014, India Received: 24 June 2020 / Accepted: 1 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The current article aims to develop a theoretical model for electromagnetohydrodynamic flow over a stagnation point flow of hybrid nanofluid with nonlinear thermal radiation and non-uniform heat source/sink. This mathematical model is implemented to blood-based nanofluids for two different nanoparticles. The linear and nonlinear thermal radiations are chosen to be varying the purpose, to see the temperature modifications in this model. For simplifying the governing flow equations, appropriate conversions are taken into interpretation to switch appropriately the ensuing partial differential equations to ordinary differential equations. The rehabilitated mathematical formulations are solved numerically via an effective procedure based on RK 4th order via a shooting scheme. The consequences of sundry variables are established via pictorial representations. The attained outcomes of this model meticulously match with those existing in the literature for some limiting conditions. The outcomes of this study are of repute in the valuation of the effect of some important design parameters on heat transfer and therefore in the optimization of industrial processes. This theoretical model consists of the EMHD and thermal radiation cases through blood flow and it has a significant attitude on the magnetic delivery in blood, the therapeutic procedure of hyperthermia, magnetic endoscopy, understanding/regulating blood flow, transport of complex bio-waste fluids and heat transfer in capillaries, etc.
List of symbols u, v J V B0 E0 (c p )hn f T u∞ khn f
Velocity components in x and y directions (ms−1 ) Joule current Fluid velocity Uniform magnetic field Uniform electric field Specific heat at a constant pressure of hybrid nanofluid (J kg−1 K−1 ) Temperature of the fluid (K) Free stream velocity Thermal conductivity of hybrid nanofluid (w m−1 k−1 )
a e-mail: [email protected] (corresponding author)
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q A∗ B∗ qr k∗ uw Vw N Tw T∞ K A M E R Pr Ec S Sf St Cf f Rex Nux NG Br Be
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Non-uniform heat source/sink Coefficient of space-dependent heat source/sink Coefficient of temperature-dependent heat source/sink Radiative heat flux Rosseland mean absorption coefficient Velocity Wall mass transfer Velocity slip factor Temperature of the fluid Temperature of the ambient fluid Thermal velocity slip factor Stagnation parameter Magnetic parameter Electric field Radiation parameter Prandtl number Eckert number Suction parameter Slip velocity Thermal slip Skin friction coefficient Dimensionless velocity Local Reynolds number Nusselt number Local entr
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