Abstract

An analysis was made to study the effects of non-uniform heat source or sink and aligned magnetic field effect on boundary layer flow of carbon nanofluid past a stretching cylinder with melting heat transfer and radiation. The Prandtl boundary layer equations are transformed into highly nonlinear ordinary differential equations utilizing similarity variables. The final resolved system is explained with shooting method. The upshots of governing factors on the velocity, temperature, surface skin friction and rate of heat transfer are discoursed with the help of graphs. MWCNT performance is better than SWCNT in case of fluid flow. SWCNTs transfers more heat from the fluid rather than multi wall tubes.Comparison of our numerical results with available literature works and shown a good agreement.

Highlights

  • MotivationMagnetic field applied transversely normal to the fluid flow aligned is studied under Maxwell’s law

  • In order to enhance the thermal conductivity in heat transferring, Choi [8,9] introduced nanoparticles which when combined with poor conductive base fluids to form a colloid, called nanofluids [10]

  • − T0 ) v(Rd, x) where u, v are radial and axial velocity components in x, r directions respectively. is the aligned angle, is the electric conductivity, B0 is the magnetic field strength, T is the temperature of the fluid, Tm is the temperature of the melting surface, T is the quiescent flow temperature, Cp, and k are respectively the density, dynamic viscosity, kinematic viscosity, specific het at constant pressure and thermal conductivity, k* is the mean absorption coefficient, * is the Stefan-Boltzmann Constant, uw is the stretching velocity, ue is the free stream velocity, cs is the surface heat capacity, Rd is the radius of the cylinder, l is the characteristic length, λ1 is the fluid latent heat

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Summary

Motivation

Magnetic field applied transversely normal to the fluid flow aligned is studied under Maxwell’s law. In order to enhance the thermal conductivity in heat transferring, Choi [8,9] introduced nanoparticles which when combined with poor conductive base fluids to form a colloid, called nanofluids [10]. They are of man-made fluids whose particles may be of spherical or cylindrical shapes called tubes [11]. An attempt is made to study the radiation and aligned magnetic field effects on boundary layer flow of two different types of CNTS namely SWCNT and MWCNT past a stretching sheet with melting heat transfer boundary condition

Numerical analysis
Results and discussion
A Sharma and Mahapatra
Conclusion
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