A numerical study of magnetohydrodynamics flow in Casson nanofluid combined with Joule heating and slip boundary conditions

“…Das et al [30] scrutinized the mixed convection MHD flow past an inclined plane in the presence of Joule heating and viscous dissipation and found that the velocity and the thermal fields are enhanced as the thermal buoyancy force is increased. Numerical study of MHD Casson fluid with slip boundary and Joule heating was analyzed by Kamran et al [31] with the main finding that an increment in the Reynolds number enhances the entropy of the system. Vijayalaxmi et al [32] observed the stagnation point flow of MHD Eyring-Powell nanofluid with convective conditions past an exponential stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation and Joule heating on MHD radiative tangent hyperbolic nanofluid with convective and slip conditions

Atif

Hussain

Sagheer

2019

J Braz. Soc. Mech. Sci. Eng.

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The forthright intention of this communication is to scrutinize the effect of variable thermal conductivity and thermal radiation on the magnetohydrodynamic tangent hyperbolic fluid in the presence of nanoparticles past a stretching sheet. For heat and mass transport phenomena, the collective stimulus of slip and convective conditions with the internal heating, viscous dissipation and Joule heating have been taken into account. The boundary layer equations of two-dimensional tangent hyperbolic nanofluid have been established with the help of boundary layer approximations. With the assistance of appropriate similarity transformation, the governing set of PDEs are rendered into the coupled nonlinear ODEs. The solution of the resulting ODEs is obtained with the help of the shooting technique. Furthermore, an authentication of the computed results is obtained through benchmark with the previously reported cases. The influence of various pertinent parameters on the velocity, temperature and concentration profiles has been analyzed graphically and discussed. The physical behavior of the velocity, temperature concentration, skin friction coefficient, the Nusselt and the Sherwood numbers have been investigated diagrammatically for various pertinent parameters. It is observed that the velocity profile is declined for the growing values of the Weissenberg number and the power law index, whereas the thermal and concentration fields are observed to enhanced for the same parameters. Our analysis depicts that the temperature and the concentration profiles are enhanced for the slip parameter and the Eckert number. Keywords Tangent hyperbolic nanofluid • Convective heat transfer • Viscous dissipation • Joule heating List of symbols Bi Biot number B 0 Applied magnetic field C Fluid concentration inside the boundary layer C p Specific heat C ∞ Fluid concentration outside the boundary layer C f Skin friction coefficient C w Concentration at wall surface D B Brownian diffusion parameter D Coefficient of mass diffusion D T Thermophoresis diffusion parameter Ec Eckert number h f Heat transfer coefficient j w Local mass flux k Thermal conductivity Le Lewis number L Slip parameter M Magnetic number n Power law index Nb Brownian motion parameter Nt Thermophoresis parameter Nu x Nusselt number Pr Prandtl number q w Heat transfer rate q r Radiative heat flux Rd Thermal radiation parameter Re x Local Reynolds number Sc Schmidt number Sh x Sherwood number T Boundary layer temperature T w Surface temperature T ∞ Ambient temperature t Time u, v Velocity components u w Characteristics velocity

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“…Earlier studies clearly clarify that the thermal properties and viscous nature of the fluid improve by considering nanoparticles instead of conventional fluids. The subject, heat transfer with nanofluids, has been investigated by Makinde and Aziz [14], Abrar et al [15], Abrar and Awais [16], Manna et al [17], Kamran et al [18], etc.…”

Section: Introductionmentioning

confidence: 99%

Entropy analysis of Hall current and thermal radiation influenced by cilia with single- and multi-walled carbon nanotubes

2019

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The present investigation explores the significance of creeping viscous nanofluids in an axi-symmetric channel influenced by metachronal waves containing magnetohydrodynamics and Hall current. Heat transport analysis is also performed to derive the impact of thermal radiation on internal heat source phenomena. The use of mathematical formulation resulted in a set of nonlinear coupled partial differential equations. The governed differential system is transformed into an ordinary differential system by considering similar variables. Exact solutions in the closed form have been derived for the temperature, momentum and pressure gradient. Moreover, entropy generation due to heat transfer, thermal radiation and magnetic effects has been measured. The graphical results have been presented to interpret sundry parameters of interest. Streamlines and isotherms are also plotted against the multi-walled carbon nanotube. For the validation of our results, a comparison table is presented. It is also seen that entropy of the system increases and the Bejan number decreases with an increase in the Brinkman number.

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A numerical study of magnetohydrodynamics flow in Casson nanofluid combined with Joule heating and slip boundary conditions

Cited by 102 publications

References 40 publications

Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet

Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet

Effect of viscous dissipation and Joule heating on MHD radiative tangent hyperbolic nanofluid with convective and slip conditions

Entropy analysis of Hall current and thermal radiation influenced by cilia with single- and multi-walled carbon nanotubes

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