Abstract

Review Article

Heat transfer investigation of Non-Newtonian Fluid between two vertically infinite flat plates by numerical and analytical solutions

Pourmehran O*, Rahimi-Gorji M, Tavana M, Gorji-Bandpy M and Ganji DD

Published: 18 May, 2017 | Volume 1 - Issue 1 | Pages: 001-011

In natural convection, the fluid motion occurs by natural means such as buoyancy. Heat transfer by natural convection happens in many physical problems and engineering applications such as geothermal systems, heat exchangers, petroleum reservoirs and nuclear waste repositories. These problems and phenomena are modeled by ordinary or partial differential equations. In most cases, experimental solutions cannot be applied to these problems, so these equations should be solved using special techniques. In this paper, natural convection of a non-Newtonian fluid flow between two vertical flat plates is investigated analytically and numerically. Collocation Method (CM) and fourth-order Runge -Kutta numerical method (NUM) are used to solve the present problem. These methods are powerful and convenient algorithms in finding the solutions for the equations. While these are capable of reducing the size of calculations. In order to compare with exact solution, velocity and temperature profiles are shown graphically. The obtained results are valid with significant accuracy.

Read Full Article HTML DOI: 10.29328/journal.hbse.1001001 Cite this Article Read Full Article PDF

Keywords:

Natural convection; Non-Newtonian fluid; Partial differential equation; Collocation Method (CM); Numerical Method (NUM)

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