Abstract
In the present study, non-Newtonian flow in annular pipe is considered. The analytical solution for velocity and temperature fields is presented while entropy generation due to fluid friction and heat transfer is formulated. The third grade fluid with constant properties is accommodated in the analysis. It is found that reducing non-Newtonian parameter increases maximum velocity magnitude and maximum temperature in the annular pipe. Total entropy generation number attains high values in the region close to the inner wall of the annular pipe, which becomes significant for low non-Newtonian parameters. Increasing Brinkman number enhances entropy generation number, particularly in the region close to the annular pipe inner wall.
Highlights
Annular flow in concentric pipes finds wide application in industry, in heating and cooling applications
It is found that velocity and temperature gradients in the region close to inner wall of the annular pipe is high due to convective acceleration as similar to the Newtonian fluid
Entropy generation due to fluid friction and heat transfer is high in the region close to the inner wall of the annular pipe due to enhancement of convective heat transfer and increased fluid friction due to high shear strain in this region
Summary
Annular flow in concentric pipes finds wide application in industry, in heating and cooling applications. The closed form solutions for entropy generation due to fluid friction and heat transfer are obtained and entropy number is computed for various non-Newtonian parameters. Approximate solutions for velocity and temperature profiles using perturbation methods were presented for the above equations due to non-Newtonian fluid flow in annular pipe (Figure (1)) [8]
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