Free Convection Boundary Layer Flow and Heat Transfer of a Nano Fluid over a Moving Plate with Internal Heat Generation

Abstract

This paper presents considers the extended Blasius Flow problem and Heat transfer characteristics in Nano fluid with internal heat generation by considering free stream parallel to a moving plat plate which has much practical significance. The total transport model employed here includes the effect of Blasius motion and internal heat generation in energy transfer. It is also assumed that the plate moves in same or opposite direction to the free stream. Using the Similarity transformations, the transport equations followed by their Numerical computations. The governing system of highly non-linear ordinary differential equations are solved for three kinds of nanoparticals namely Cooper(Cu), Alumina() and Titania() in the water base fluid with the value of Prandtl Number Pr=6.2 numerically. Initially by the similarity analysis the governing partial differential equations are converted into system of non linear ordinary differential equations. The governing p.d.e’s are converted into system of first order o.d.e’s and are solved numerically using MATLAB ode45 solver. The effect of various Physical parameters encountered in the problem such as solid volume fraction of three types of nano particles on velocity transfer and Energy transfer are analysed and studied by representing through graphs. The results are compared with earlier published results and are well in agreement.

Keywords: Nano fluid, moving plate, heat transfer, ode solver, solid volume fraction