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Article

Study of Two-Phase Newtonian Nanofluid Flow Hybrid with Hafnium Particles under the Effects of Slip

1
Department of Mathematics & Statistics, Faculty of Basic & Applied Sciences, International Islamic University Islamabad, Islamabad 44000, Pakistan
2
Fulbright Fellow, Department of Mechanical Engineering, University of California Riverside, Riverside, CA 92521, USA
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Department of Mathematics, Faculty of Arts & Basic Sciences, Balochistan University of Information Technology Engineering & Management Sciences Quetta, Quetta 87300, Pakistan
4
Center for Energy Technology, School of Mechanical Engineering, University of Adelaide, Adelaide SA 5000, Australia
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Sustainable Management of Natural Resources & Environment Research Group, Faculty of Environment & Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam
6
CORIA-CNRS(UMR6614), Normandie University, INSA of Rouen, 76000 Rouen, France
*
Author to whom correspondence should be addressed.
Inventions 2020, 5(1), 6; https://doi.org/10.3390/inventions5010006
Received: 13 December 2019 / Revised: 9 January 2020 / Accepted: 15 January 2020 / Published: 20 January 2020
(This article belongs to the Special Issue Recent Trends in Nanofluids)
This paper investigates the role of slip in a two-phase flow of Newtonian fluid. The nano-size Hafnium particles are used in the base fluid. The fluid under consideration is studied for two cases namely (i) fluid phase (ii) phase of particles. Both cases are examined for three types of geometries. The governing equations are simplified in nondimensional form for each phase along with boundary conditions. The resulting equations have been analytically solved to get exact solutions for both fluid and particle phases. Different features of significant physical factors are discussed graphically. The flow patterns have been examined through streamlines. View Full-Text
Keywords: Newtonian fluid; multiphase flow; nano-sized hafnium particles; exact solutions Newtonian fluid; multiphase flow; nano-sized hafnium particles; exact solutions
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MDPI and ACS Style

Ellahi, R.; Hussain, F.; Asad Abbas, S.; Sarafraz, M.M.; Goodarzi, M.; Shadloo, M.S. Study of Two-Phase Newtonian Nanofluid Flow Hybrid with Hafnium Particles under the Effects of Slip. Inventions 2020, 5, 6. https://doi.org/10.3390/inventions5010006

AMA Style

Ellahi R, Hussain F, Asad Abbas S, Sarafraz MM, Goodarzi M, Shadloo MS. Study of Two-Phase Newtonian Nanofluid Flow Hybrid with Hafnium Particles under the Effects of Slip. Inventions. 2020; 5(1):6. https://doi.org/10.3390/inventions5010006

Chicago/Turabian Style

Ellahi, Rahmat, Farooq Hussain, Syed Asad Abbas, Mohammad M. Sarafraz, Marjan Goodarzi, and Mostafa S. Shadloo. 2020. "Study of Two-Phase Newtonian Nanofluid Flow Hybrid with Hafnium Particles under the Effects of Slip" Inventions 5, no. 1: 6. https://doi.org/10.3390/inventions5010006

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