Heat Transfer in a Channel with a Porous Wall for Turbine Cooling Application

Abstract

A method of cooling turbine blades internally by continuous injection through an interior baffle is analyzed. The analytical model consists of a two-dimensional channel formed by a solid wall (blade surface) and a porous plate (injection source). Based on incompressible- and laminar-flow assumptions, the velocity and the temperature fields are determined. The Nusselt numbers for a power-law surface-temperature variation are obtained and expressed in terms of the Prandtl and the Reynolds numbers. A related problem of cooling the turbine disk is also solved.

Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

“…Since that a large number of theoretical investigations dealing with steady flow and stationary walls were made [2][3][4][5][6]. Based on these works, Debruge and Han [7] studied a problem concerning heat transfer in channel flow, which can be considered as an application of previous works. They analyzed a method for cooling turbine blades in order to increase the resistance of the blades against the hot stream around the blades.…”

Homotopy Analysis Method for the heat transfer of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall

“…Hot rolling, extrusion of plastics, flow in journal bearings, lubrication and flow in a shock absorber are some typical examples to name. Understanding the nature of channel flow of non-Newtonian fluid and related heat transfer problem by mathematical modeling with a view to predict the temperature distribution and the associated behavior of fluid flow have been the focus of considerable research works [1][2][3][4][5][6][7][8].…”

Semi-analytical Investigation of Momentum and Heat Transfer of a Non-Newtonian Fluid Flow for Specific Turbine Cooling Application Using AGM

“…Letting the blade wall z = 0 temperature distribution be T w = T 0 + ∞ n=0 C n r L n and assuming the fluid temperature to have the form of [1]:…”

“…With respect to their considered analytical model and also their physical assumption that was based on incompressible and laminar flow, they would be able to determine the velocity and the temperature fields. Also it is noteworthy to mention that Kurtcebe and Erim [2] extended the work of Deburge and Han [1] to investigate the influence of non-Newtonian viscoelastic fluid flow on the cooling of the turbine disk. Therefore, it is obvious that non-Newtonian fluid flow could be utilized in various fields of study which some of the excellence of the previous research areas could be mentioned as [3][4][5].…”

“…For instance, a model of cooling turbine blades internally by continuous injection through an interior baffle was analyzed by Deburge and Han [1] in order to increase the resistance of blades against the hot steam around the blades. With respect to their considered analytical model and also their physical assumption that was based on incompressible and laminar flow, they would be able to determine the velocity and the temperature fields.…”