Abstract

Numeric simulations are performed for a comparative study of magnetohydrodynamic (MHD) rotational flow of hybrid nanofluids (MoS2-Ag/ethyleneglycol-water (50–50%) and MoS2-Go/ethyleneglycol-water (50–50%)) over a horizontally elongated plane sheet. The principal objective is concerned with the enhancement of thermal transportation. The three-dimensional formulation governing the conservation of mass, momentum, energy, and concentration is transmuted into two-dimensional partial differentiation by employing similarity transforms. The resulting set of equations (PDEs) is then solved by variational finite element procedure coded in Matlab script. An intensive computational run is carried out for suitable ranges of the particular quantities of influence. The primary velocity component decreases monotonically and the magnitude of secondary velocity component diminishes significantly when magnetic parameter, rotational parameter, and unsteadiness parameter are incremented. Both the primary and secondary velocities are smaller in values for the hybrid phase Ag-MoS2 than that of hybrid phase Go-MoS2 but the nanoparticle concentration and temperature are higher for hybrid phase Ag-MoS2. The increased values of parameters for thermophoresis, Brownian motion, shape factor, and volume fraction of ϕ2 made significant improvement in the temperature of the two phases of nano liquids. Results are also computed for the coefficients of skin friction(x, y-directions), Nusselt number, and Sherwood number. The present findings manifest reasonable comparison to their existing counterparts. Some of the practical engineering applications of the present analysis may be found in high-temperature nanomaterial processing technology, crystal growing, extrusion processes, manufacturing and rolling of polymer sheets, academic research, lubrication processes, and polymer industry.

Highlights

  • Global warming and environmental pollution are leading to energy shortages in the modern world

  • We assume that the thermo-physical properties of hybrid base, single and hybrid nanofluid along with shape factor are expressed in Table 1 and Table 2, the base fluid and nanoparticles are in thermal equilibrium and no slip occurs between them, and the agglomeration of nanoparticles is ignored because the hybrid nanofluid is synthesized as a stable compound

  • It is observed that velocity f 0 (ζ, η ) is slightly faster for hybrid phase Go-MoS2 than hybrid phase Ag-MoS2 but the velocity g(ζ, η ) presents contrary behavior for the two nano phases

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Summary

Introduction

Global warming and environmental pollution are leading to energy shortages in the modern world. The novelties of the current study are (i) a comparative study of two hybrid nanofluids with hybrid base fluid and different shape factors, i.e., MoS2-Ag/ethylene glycol-water (50–50%) and MoS2-Go/ethylene glycol-water (50–50%), (ii) the Buongiorno nanofluid model is implemented together with Tiwari and Das nanofluid model, (iii) incorporate the chemical reaction and activation energy, and (iv) the finite element approach for this elaborated problem. It solves the boundary value problems adequately, rapidly, and precisely [38,39]. Some of the practical engineering utilization of the present investigation might be found in crystal growing and glass, extrusion processes, paper industry, turbo-mechanics, thinning and drawing of copper wires, gas turbine rotors, polymer industry, lubrication processes, filtration process, and relevant to high-temperature nanomaterial processing technology

Statement of the Problem
Governing Equations
Finite Element Method Solutions
Finite Element Formulations
Results and Discussion
Conclusions
Methods
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