Study of Two-Phase Newtonian Nanofluid Flow Hybrid with Hafnium Particles under the Effects of Slip
Rahmat Ellahi,
Farooq Hussain,
Syed Asad Abbas,
Mohammad Mohsen Sarafraz,
Marjan Goodarzi,
Mostafa Safdari Shadloo
Affiliations
Rahmat Ellahi
Department of Mathematics & Statistics, Faculty of Basic & Applied Sciences, International Islamic University Islamabad, Islamabad 44000, Pakistan
Farooq Hussain
Department of Mathematics, Faculty of Arts & Basic Sciences, Balochistan University of Information Technology Engineering & Management Sciences Quetta, Quetta 87300, Pakistan
Syed Asad Abbas
Department of Mathematics & Statistics, Faculty of Basic & Applied Sciences, International Islamic University Islamabad, Islamabad 44000, Pakistan
Mohammad Mohsen Sarafraz
Center for Energy Technology, School of Mechanical Engineering, University of Adelaide, Adelaide SA 5000, Australia
Marjan Goodarzi
Sustainable Management of Natural Resources & Environment Research Group, Faculty of Environment & Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Mostafa Safdari Shadloo
CORIA-CNRS(UMR6614), Normandie University, INSA of Rouen, 76000 Rouen, France
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.
