Abstract
This work concentrates on the mathematical modeling for stagnation point flow of nanofluids over an impermeable stretching sheet with variable thickness. Carbon nanotubes [single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs)] as the nanoparticles are utilized. Water and kerosene oil are taken as the base fluids. Heat transfer through melting effect is discussed. Transformation procedure is adapted to obtain the non-linear ordinary differential equations from the fundamental laws of mass, linear momentum and energy. The optimal values of convergence control parameters and corresponding individual and total residual errors for SWCNTs and MWCNTs are computed by means of homotopy analysis method (HAM) based BVPh 2.0. Characteristics of different involved parameters on the velocity, temperature, skin friction coefficient and Nusselt number are discussed. Higher velocity profile is observed for wall thickness parameter in case of water carbon nanotubes when compared with the kerosene oil carbon nanotubes.
Highlights
The development of thermal engineering and industrial intensification at present has a direct effect on the requirement of developing more efficient and compact heat transfer systems
We investigate the steady boundary layer stagnation point flow of viscous nanofluid over impermeable stretching sheet with melting heat transfer
The main theme of this section is to describe the behaviors of various pertinent parameters on the velocity and temperature profiles for two cases i.e., single and multi-wall carbon nanotubes with the addition of the base fluids water and kerosene oil
Summary
The flow of third grade fluid with thermal stratification and radiation is studied by Hayat et al.[12] Shiekholeslami et al.[13] examined the effect of heat transfer in flow of nanofluids over permeable stretching surface. Yacob et al.[15] studied the heat transfer in the boundary layer stagnation point flow of micropolar fluid over a stretching / shrinking sheet with melting effect. The objective of present attempt is to disclose the characteristics of melting heat transfer in carbon nanotubes dispersed in the base fluids (water and kerosene oil) over a stretched variable thickness surface. We investigate the steady boundary layer stagnation point flow of viscous nanofluid over impermeable stretching sheet with melting heat transfer.
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