Thermal effects of power-law fluid in an elastic tube

Abstract

A mathematical model is used to study the impact of elasticity on the peristaltic flow of a Power-Law fluid including nanoparticles in a cylindrical tube. Long wavelength and low Reynold's number approximations and non-dimensionalization are used in the governing equations to get non-linear equations. Homotopy Perturbation Method is an approximate analytical method, which is used here to solve coupled equations of Temperature profile and nanoparticle phenomena. Then the expression for axial velocity and flux flow rate are calculated. The techniques of Rubinow, Keller, and Mazumdar are used to compute the flux variation. The impact of various factors on flow is addressed. The change in Heat and Mass transfer coefficients are studied at the end. A number of intriguing behaviors are reported by the results obtained for the current flow characteristics, which call for more research on physiological fluids in elastic tubes with peristalsis. In this work, the wide variety of applications of nanofluids is presented with an emphasis on their enhanced, regulated heat transfer qualities. Because of their special qualities, these nanofluids are appropriate for a variety of uses. The work has applications in pharmacological engineering, such as peristaltic micropumps and innovative drug delivery methods.

Keywords

• Power-law fluid
• Elastic tube
• Nanoparticles
• Temperature profile
• Nanoparticle phenomena