Investigation of heat transfer for cooling turbine disks with a non-Newtonian fluid flow using DRA

Abstract

a b s t r a c tA non-Newtonian viscoelastic fluid flow passes through the porous wall of an axisymmetric channel on a turbine disc for cooling application. The present article solves the couple equations (momentum and heat transfer) of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall for turbine cooling applications by using the Duan-Rach Approach (DRA). The precious achievement of the present work is introducing a new and efficient approximate analytical technique that this method allows us to find a solution without using numerical methods to evaluate the undetermined coefficients. The approximate analytical investigation is carried out for different values of the embedding parameters namely: Reynolds number, Prandtl number, injection Reynolds number and power law index. The DRA results indicate that Nusselt number has direct relationship with Reynolds number, Prandtl number and power law index. Also the results were compared with numerical solution in order to verify the accuracy of the proposed method. It is seen that the current results in comparison with the numerical ones are in excellent agreement.

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

“…Based on the descriptions provided in, the DRA must be modified. We do not use the prescribed valueξ.…”

“…In truth, the final solution is not comprised of unspecified coefficients. This method was successfully applied to different engineering problems . The impacts of diverse active parameters, such as the suction/injection parameter, the solid volume fraction, the heat source parameter, the thermal relaxation parameter, and the radiation parameter on flow and heat transfer traits are examined.…”

MHD Free Convection and Heat Transfer Flow Through a Vertical Porous Plate in the Presence of Chemical Reaction

“…Dufour and Soret effects on steady MHD free Convective flow past a vertical porous plate embedded in a porous medium with chemical reaction, radiation, heat generation and viscous dissipation has been introduced by Lavanya et al (2014) and steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate has been observed Shrama et al (2010). Also, Dogonchi et al (2015) have introduced the investigation of heat transfer for cooling turbine disks with a non-newtonian fluid flow using DRA. Momentum and heat transfer behavior of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink was submitted by Sandeep and Sulochana (2016).…”

On model for three-dimensional Carreau fluid flow with Cattaneo–Christov double diffusion and variable conductivity: a numerical approach

“…For instance, various researchers are reported to analyze non-Newtonian liquids highlighting different features (see Refs. [24][25][26][27][28][29][30][31][32][33][34][35]). Aspects of chemical species and thermal radiation over a curved surface were analyzed by Hayat et al [36].…”