A Progress on the Development of Mathematical Model on Two-Phase Flow over a Vertical Stretching Sheet

Abstract

The investigation on flow and heat transfer are important in the engineering applications, for example, extrusion of metal and polymer, cooling of electronic devices, heat exchanger and chemical processing equipment. Since the investigations on the real applications are costly and sometime hazardous, the study on mathematical model representing the fluid flow and heat transfer’s problem are considered to overcome this limitation. This paper will present the progress on the development of mathematical model on non-Newtonian two-phase model where the fluid flow is studied together with the dust particles. The review will include the discussions on existing problems, its methodology as well as the significance outcomes. The main contributions on this paper is to present the research gap and the possible development for future investigations on the problem under the mathematical model of fluid flow and heat transfer.

Modified Buongiorno's model for the analysis of chemically reacting jet flow of ternary hybrid nanofluid under the influence of activation energy and bio‐active mixers

“…Aljabali et al. [46] where the study carried out on two phase flow across an upright elongating surface. Motivated by the applications of stretching sheet Alkasasbeh [47] and Rashidi et al.…”

“…The researchers in modern era developed various physical model by considering vertical stretching sheet in their studies. Aljabali et al [46] where the study carried out on two phase flow across an upright elongating surface. Motivated by the applications of stretching sheet Alkasasbeh [47] and Rashidi et al [48] established the mathematical models for the mass and energy transference across an extending surface.…”

Dusty Casson Fluid Flow containing Single-Wall Carbon Nanotubes with Aligned Magnetic Field Effect over a Stretching Sheet

“…Abbas et al, [2] carried out the study on Newtonian fluid flow containing dust particles through porous medium associated with magnetic field and slip effects. On the other hand, a comprehensive literature review on the growth of two-phase model concerning non-Newtonian fluid as a base fluid is reported by Aljabali et al, [3] and in the subsequent years, they continued to analyse Erying Powell fluid flow with the impact of temperature-dependent viscosity [4,5]. Some recent investigations associated with two-phase flow problems for various non-Newtonian fluid in different geometries have been conducted by several authors [6][7][8][9][10].…”

Jeffrey Fluid Embedded with Dust Particles over a Shrinking Sheet: A Numerical Investigation

“…In recent years, Hamid et al, [19] carried out stability analysis on dusty fluid while Santhosh and Raju [20] took into account the unsteady flow of dusty Carreau-Casson fluids over shrinking sheet. Very recently the investigation related to the non-Newtonian dusty fluid over a stretching sheet has been continued by Dasman et al, [21], Arifin et al, [22] and Aljabali et al, [23].…”