Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses
K. Maruthi Prasad1, Prabhaker Reddy Yasa2
1K. Maruthi Prasad, Department of Mathematics, School of Science, GITAM (Deemed to be University), Hyderabad, Telangana State, India.
2Prabhaker Reddy Yasa*, Research Scholar at GITAM (Deemed to be University), Department of BS&H, B V Raju Institute of Technology (BVRIT), Narsapur, Telangana State, India.
Manuscript received on October 16, 2019. | Revised Manuscript received on 23 October, 2019. | Manuscript published on November 10, 2019. | PP: 3915-3921 | Volume-9 Issue-1, November 2019. | Retrieval Number: A4989119119/2019©BEIESP | DOI: 10.35940/ijitee.A4989.119119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The effect of electrically conducting fluid flow in an inclined tube with permeable walls and having multiple stenosis through porous medium was studied. The Homotopy Perturbation Method is used to calculate the phenomena of Nanoparticle and temperature of the coupled equations. The solutions have been analyzed on the basis of pressure drop, resistance to the flow and wall shear stress. It is identified that the heights of the stenosis, Thermophoresis parameter, local temperature Grashof number, local nanoparticle Grashof number, Magnetic parameter increases with the resistance to the flow and Brownian motion number, permeability constant decreases with resistance to the flow. It is remarkable that, the resistance to the flow is found increasing for the values of inclination and decreases for the values of . The observation also notes that, the shear stress at the wall is found increasing with the height of the stenosis, Inclination, Thermophoresis parameter, local nanoparticle Grashof number and Permeability constant, but found decreasing with Brownian motion parameter and Magnetic Parameter.
Keywords: Nanofluid, Resistance to the Flow, Stenosis, Permeability Constant, Magnetic Parameter, Porous Medium.
Scope of the Article: Exact and Parameterized Computation