Abstract

A theoretical model on carbon nanotube-based upper convective Maxwell nanofluid flow with thermal and velocity slip boundary conditions is thoroughly presented here. To formulate the viscoelastic relaxation framework on boundary layer flow uniquely, Cattaneo–Christov heat flux model is employed in the momentum equation. The dominating equations and boundary conditions are turned into system of ordinary boundary value problem by using proper transformations, and hence, the similarity solutions are gained numerically by applying Runge–Kutta fourth-order method with shooting practice. The impacts of the governing parameters upon the flow and temperature are represented in tabular as well as in graphical form and discussed in detail. The findings elucidate that both the velocity and temperature are inverse functions of thermal relaxation time for single-walled and multi-walled carbon nanotube-based nanofluids. Fluid relaxation parameter is positively correlated with skin friction and rate of heat transport for both types of nanofluids, but the temperature slip makes a contrary with the same.

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