Viscous flow and heat transfer over an unsteady stretching surface

Abstract

Abstract:In this paper we have studied the flow and heat transfer of a horizontal sheet in a viscous fluid. The stretching rate and temperature of the sheet vary with time. The governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation. These equations are solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM) which provides us with a convenient way to control the convergence of approximation solutions and adjust convergence rigorously when necessary. Some examples are given and the results obtained reveal that the proposed method is effective and easy to use.

A novel analysis of heat transfer in the nanofluid composed by nanodimaond and silver nanomaterials: numerical investigation

“…The analysis is interesting but it lacks the novelty enhanced heat transfer mechanism which has paramount importance for industrial and engineering purposes. Another study in this regard is reported in Elbashbeshy and Bazid 23 for nonpermeable surface which is actually a special case of the study presented in Ene 22 for conventional liquid. Therefore, the work published in 22 , 23 could be prolonged for the study of nanofluids which is the demand of modern world.…”

“…Another study in this regard is reported in Elbashbeshy and Bazid 23 for nonpermeable surface which is actually a special case of the study presented in Ene 22 for conventional liquid. Therefore, the work published in 22 , 23 could be prolonged for the study of nanofluids which is the demand of modern world. The main concerns of the study are to modify the existing models for nanofluids composed by ND and Ag nanoparticles and the comparison of thermal performance between them.…”

“…In the view of above limitations, the law of conservation of mass, momentum and energy take the following form 22 : …”

“…The presented work is the modified version of the studies reported in 22 , 23 . Therefore, to validate the present analysis, graphical and tabular comparison is made under certain assumptions ( for graphical comparison and for tabular comparison) on the current nanofluid model.…”

“…The used nanofluids (ND-H 2 O and Ag-H 2 O) has superior advantages over conventional liquids regarding heat transfer. The study of heat transfer over a permeable unsteady stretching surface for newtonian fluid is reported in Ene 22 . The authors modeled the problem by considering the impacts of viscous dissipation and prandtl effects and reported the results for the velocity and energy transport.…”