The Nanoparticles CuO/ water flow inside a vertical cylindrical Tube effect of peristaltic motion

Document Type : Research and Reference

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1 Mathematics Department, Faculty of Science, Tanta University, Al-Gharbia, Egypt.

2 Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

3 Mathematics Department , Faculty of Science, Tanta University, Tanta, Egypt

Abstract

In this paper, the incompressible viscus Newtonian nanoparticles CuO/ water flow through a vertical cylindrical tube under the effect of peristaltic motion is studied. The mathematical model is formulated by mass, Navier-stokes, heat and volume rate equations. The nonlinear and linear partial differential equations are solved analytically in terms of nano temperature, velocity, and pressure gradient distributions for long wavelengths. The obtained results are affected by amplitude ratio, heat transfer coefficient, void fraction of nanoparticles. The nano temperature is proportional inversely with amplitude ratio and void fraction of nanoparticles. The nano velocity is proportional directly with heat transfer coefficient, amplitude ratio and Grashof number values. The void fraction of nanoparticles values is affected on velocity and pressure gradient distributions inversely. The nano pressure gradient is increasing with Grashof number values. Moreover, the concluded remarks proved the validity of the proposed model. The physical model can be extended for different nanoparticles under the effect of some dominant physical parameters.

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