Peristaltic flow of incompressible nano fluid Al2O3/water under the effect of heat addition/absorption inside a vertical cylindrical tube | ||||
| Delta Journal of Science | ||||
| Volume 47, Issue 1, August 2023, Page 144-153 PDF (726.58 K) | ||||
| Document Type: Research and Reference | ||||
| DOI: 10.21608/djs.2023.212256.1131 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Reem Ghoraba   1; Selim Ali Mohammadein2; Maha Mohamadain3
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| 1Faculty of science Tanta university | ||||
| 2Mathematics, Faculty of Science, Tanta University, Tanta, Egypt | ||||
| 3Mathematics Department , Faculty of Science, Tanta University, Tanta, Egypt | ||||
| Abstract | ||||
| The behavior of some peristaltic flow for some liquids in a vertical and horizontal cylindrical tube is studied before in non-closed form. In this paper, the nanoparticles AL_2 O_3/water flow is discussed in a peristaltic vertical cylindrical tube under the effect of gravity and the constant heat addition/absorption. The mass, Navier-Stokes, heat and volume flow rate equations represent the mathematical model for long wavelengths. The system of equations represents a closed form for the dependent parameters. The model is solved analytically in terms of nano temperature, velocity and pressure gradient distributions with existence of nanoparticles suspended in liquid. The stream function is obtained in the plane of fluid with nanoparticles Various amplitude ratio and heating source parameter values have an impact on the nano temperature distribution in a peristaltic tube. The nano fluid velocity is increasing with the change of Grashof number values, rate of volume flow, heating source parameter and decreasing with void fraction of nano particles. The obtained results prove the validity of the current model | ||||
| Keywords | ||||
| peristatic; Newtonian fluid; Nano particles; Grashof number | ||||
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