Abstract
The various applications of squeezing flow between two parallel surfaces such as those that are evident in manufacturing industries, polymer processing, compression, power transmission, lubricating system, food processing, and cooling amongst others call for further study on the effects of various parameters on the flow phenomena. In the present study, effects of nanoparticle geometry, slip, and temperature jump conditions on thermo-magneto-solutal squeezing flow of nanofluid between two parallel disks embedded in a porous medium are investigated, analyzed, and discussed. Similarity variables are used to transform the developed governing systems of nonlinear partial differential equations to systems of nonlinear ordinary differential equations. Homotopy perturbation method is used to solve the systems of the nonlinear ordinary differential equations. In order to verify the accuracy of the developed analytical solutions, the results of the homotopy perturbation method are compared with the results of the numerical method using the shooting method coupled with the fourth-order Runge–Kutta, and good agreements are established. Through the approximate analytical solutions, parametric studies are carried out to investigate the effects of nanoparticle size and shape, Brownian motion parameter, nanoparticle parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip, and temperature jump boundary conditions on thermo-solutal and hydromagnetic behavior of the nanofluid. This study will enhance and advance the understanding of nanofluidics such as energy conservation, friction reduction, and micromixing of biological samples.
Highlights
Academic Editor: Joseph Virgone e various applications of squeezing flow between two parallel surfaces such as those that are evident in manufacturing industries, polymer processing, compression, power transmission, lubricating system, food processing, and cooling amongst others call for further study on the effects of various parameters on the flow phenomena
In order to verify the accuracy of the developed analytical solutions, the results of the homotopy perturbation method are compared with the results of the numerical method using the shooting method coupled with the fourth-order Runge–Kutta, and good agreements are established. rough the approximate analytical solutions, parametric studies are carried out to investigate the effects of nanoparticle size and shape, Brownian motion parameter, nanoparticle parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip, and temperature jump boundary conditions on thermo-solutal and hydromagnetic behavior of the nanofluid. is study will enhance and advance the understanding of nanofluidics such as energy conservation, friction reduction, and micromixing of biological samples
In order to verify the accuracy of the homotopy perturbation method, the developed nonlinear equations are solved using the shooting method coupled with the Runge–Kutta method
Summary
Academic Editor: Joseph Virgone e various applications of squeezing flow between two parallel surfaces such as those that are evident in manufacturing industries, polymer processing, compression, power transmission, lubricating system, food processing, and cooling amongst others call for further study on the effects of various parameters on the flow phenomena. Effects of nanoparticle geometry, slip, and temperature jump conditions on thermo-magneto-solutal squeezing flow of nanofluid between two parallel disks embedded in a porous medium are investigated, analyzed, and discussed. To the best of our knowledge, there is no study where the thermal-di usion and di usion-thermal of magnetohydrodynamic squeezing unsteady ow of nano uid between two parallel disks embedded in a porous medium under the in uences of di erent nanoparticle geometries, slip and temperature jump conditions are analyzed. Erefore, in this work, the homotopy perturbation method is used to study the e ects of nanoparticle geometry, slip, and temperature jump conditions on thermo-magneto-solutal squeezing ow of nano uid between two parallel disks embedded in a porous medium. To the best of our knowledge, there is no study where the thermal-di usion and di usion-thermal of magnetohydrodynamic squeezing unsteady ow of nano uid between two parallel disks embedded in a porous medium under the in uences of di erent nanoparticle geometries, slip and temperature jump conditions are analyzed. erefore, in this work, the homotopy perturbation method is used to study the e ects of nanoparticle geometry, slip, and temperature jump conditions on thermo-magneto-solutal squeezing ow of nano uid between two parallel disks embedded in a porous medium. e obtained analytical solutions are used to investigate the e ects of the Brownian motion parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip, and temperature jump boundary conditions on uid behavior of the nano uid
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