Abstract

In this paper, the slip and porosity effects on the channel walls are studied for the oscillatory flow of heat-absorbing/generating dusty nanofluid flowing through a porous medium. The channel is vertical and exposed to the transverse magnetic field and thermal radiation. The base fluid is water with silver as nanoparticles. The basic equations of the flow problem, which appeared to be dimensional, are remodelled in the dimension-less form with the help of non-dimensional variables. The obtained equations are solved analytically using the variable separable method. The graphs are presented to show the impact of these parameters on the flow fields, skin friction, heat transmission rate and discussed in detail. Results reveal that the flow velocities of fluid and particles for suction are greater than in the case of injection. The fluid velocity upsurges with the improved values of the velocity slip parameter.

Highlights

  • The inherent complexity of fluids in nature as well as in industry has encouraged researchers to introduce unique and innovative fundamental associations to analyze the thermophysical behavior of fluids

  • As compared to dusty fluids and nanofluids, Krishnamurthy et al [1] reported that dusty nanofluids appear to have significant thermal conductivity while examining heat transfer characteristics of dusty fluid condensed with nano-particles past an exponential stretching layer

  • Affected by the magnetic field, Naramgari and Sulochana [2] studied the flow of nanofluid concentrated with dust particles

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Summary

Introduction

The inherent complexity of fluids in nature as well as in industry has encouraged researchers to introduce unique and innovative fundamental associations to analyze the thermophysical behavior of fluids. Gireesha et al [5] considered Hall's effects, including magnetic field and heat generation/absorption on two-phase dusty-nanofluid with the observation that on the thermal distribution, Hall and magnetic parameters have opposite effects. Malik et al [15] discussed the impact of thermal conductivity and heat generation/absorption on Williamson fluid flow over a stretching cylinder They concluded that the heat source increases the temperature profile, whereas the heat sink shows the opposite behaviour. Suction/injection of the fluid across boundaries is very essential in several fields and practical considerations like aerodynamics, space sciences, film cooling, and control of boundary layer Taking these applications into account, the purpose of this analysis is to assess the impact of the oscillatory flow of dusty-nano fluid in a channel. Heat generation/absorption and the slip boundary condition are considered

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