Chemical Reaction and Thermal Radiation via Cattaneo-Christov Double Diffusion (CCDD) Effects on Squeezing Non-Netonian Nanofluid Flow between Two – Parallel Plates

Document Type : Original Article

Authors

1 Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

2 Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt

Abstract

The influences of Cattaneo-Christov double diffusion (CCDD) of an incompressible nanofluid flow is examined. The fluid is obeying Eyring – Powell model. The fluid flows amidst two - parallel plates which are vertical. The impacts of Soret number, porous medium, heat generation and thermal radiation are taken into consideration. A suitable similarity transformations is utilized to convert the controlling system of non-linear partial differential equations to ordinary ones. Moreover, the semi-analytical solutions of these equations are taken out by the means of homotopy perturbation procedure (HPM) up to second order. The influences of the distinct several physical embedded parameters on the allocations of velocity, stream function, temperature and nanofluid concentration are pointed out via a collection of graphs. Furthermore, the values of physical quantities of our interest “skin friction coefficient and nano Sherwood number” are computed and presented graphically through some draws. It’s detected that the velocity has a dual performance under the impacts of the different physical parameters. Hence, it enhances with a development in the value of Darcy parameter along the interval . However, at remaining interval, the vice versa occurred. On the contrast, the magnetic field parameter has an inverse conduct on the velocity when compared with the Darcy number. In addition, the velocity enriches with an increment in the value of the squeezing parameter. On the other hand, the value of the temperature declines with the enhancement in the value of thermal relaxation time. Moreover, the elevate in thermophoresis parameter leads to an enlargement in the value of nanofluid concentration. At the end, the nano Sherwood number has a dual behavior under the impact of the Brownian motion parameter. From the physical illustration, current investigation of squeezing flow has great relevance in view of various applications. Such as injection shaping, squeezing film pressure sensors, flow rheostats, bearings, polymer industries, liquid-metal lubrication, compression and injection shaping, and food processing, etc.

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History

  • Receive Date: 17 June 2022
  • Revise Date: 30 June 2022
  • Accept Date: 04 July 2022

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