Abstract

This investigation aims to look at the thermal conductivity of dusty Micropolar nanoliquid with MHD and Cattaneo–Christov heat flux flow over an elongated sheet. The novelty of the envisioned mathematical model is augmented with the added impacts of the heat source/sink, chemical reaction with slip, convective heat, and zero mass flux boundary conditions. The salient feature of the existing problem is to discuss the whole scenario with liquid and dust phases. The graphical depiction is attained for arising pertinent parameters by using bvp4c a built-in MATLAB function. It is noticed that the thermal profile and velocity field increases for greater values of liquid particle interaction parameter in the case of the dust phase. An escalation in the thermal profile of both liquid and dust phases is noticed for the magnetic parameter. The rate of mass transfer amplifies for large estimates of the Schmidt number. The thickness of the boundary layer and the fluid velocity are decreased as the velocity slip parameter is augmented. In both dust and liquid phases, the thermal boundary layer thickness is lessened for growing estimates of thermal relaxation time. The attained results are verified when compared with a published result.

Highlights

  • This investigation aims to look at the thermal conductivity of dusty Micropolar nanoliquid with MHD and Cattaneo–Christov heat flux flow over an elongated sheet

  • Nabwey and ­Mahdy[4] in another study examined unsteady non-Newtonian hybrid nanoliquid flow filled with F­ e3O4–Ag dust nanoparticles over a stretched surface under the influence of MHD free convection with surface temperature and a prescribed heat flux of boundary conditions

  • The association of dust particles, Micropolar nanofluid, and slip, convective, and zero mass flux condition boundary conditions is supposed to present a remarkable problem in liquid dynamics based on these physical assumptions

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Summary

Convective boundary Yes No No No No Yes

It is noted that the Williamson fluid parameter has an opposing effect on temperature and velocity profiles. No study is discussed so far in the literature that pondered the Cattaneo–Christov heat flux on an MHD Micropolar dusty nanofluid flow over a stretched surface with slip, convective heat, and zero mass flux conditions. The association of dust particles, Micropolar nanofluid, and slip, convective, and zero mass flux condition boundary conditions is supposed to present a remarkable problem in liquid dynamics based on these physical assumptions. 2. How dust and fluid phases for velocity and temperature profiles are influenced by the magnetic parameter? 6. How fluid temperature is affected by the heat source/sink for both liquid and dust phases?

Mathematical model
Kc φ
Numerical solution
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