Two-phase natural convection flow of a dusty fluid

Abstract

Purpose – The purpose of this paper is to conduct a detailed investigation of the two-dimensional natural convection flow of a dusty fluid. Therefore, the incompressible boundary layer flow of a two-phase particulate suspension is investigated numerically over a semi-infinite vertical flat plate. Comprehensive flow formations of the gas and particle phases are given in the boundary layer region. Primitive variable formulation is employed to convert the nondimensional governing equations into the non-conserved form. Three important two-phase mechanisms are discussed, namely, water-metal mixture, oil-metal mixture and air-metal mixture. Design/methodology/approach – The full coupled nonlinear system of equations is solved using implicit two point finite difference method along the whole length of the plate. Findings – The authors have presented numerical solution of the dusty boundary layer problem. Solutions obtained are depicted through the characteristic quantities, such as, wall shear stress coefficient, wall heat transfer coefficient, velocity distribution and temperature distribution for both phases. Results are interpreted for wide range of Prandtl number Pr (0.005-1,000.0). It is observed that thin boundary layer structures can be formed when mass concentration parameter or Prandtl number (e.g. oil-metal particle mixture) are high. Originality/value – The results of the study may be of some interest to the researchers of the field of chemical engineers.

Two-phase dusty fluid flow along a cone with variable properties

“…Similarly, solutions of Siddiqa et al [7] are obtained in Table 1 for dusty fluid by fixing the parameters as D ρ = 0.0, 5.0, n = 0.0, 1.0, P r = 0.005 and γ = 1.0. The angle ϕ is zero in order to get the solutions of [7]. It is clear from the Fig.…”

“…1). Under the assumptions given in Siddiqa et al [7], the governing system of equations pertinent to the problem are given by (see Ref. [3], [7]- [9]): For the fluid phase:…”

“…Singleton [5] was the first to study the boundary layer analysis for dusty fluid and later on, the dynamics of two-phase flow was investigated by [6]. A more recent analysis for natural convection flow of a dusty fluid along a vertical surface has been considered by Siddiqa et al [7]). They obtained the numerical solutions for the wide range of Prandtl number Pr (Here Pr = (c p µ ∞ )/κ ∞ ; where c p the specific heat at constant pressure, µ ∞ and κ ∞ the dynamic viscosity and thermal conductivity of fluid in free stream region, respectively) starting from 0.7 to 1000.0.…”

Numerical Estimation of Thermal Radiation Effects on Marangoni Convection of Dusty Fluid

“…Within the framework of this type of convection, a shear stress is developed in the interface, which is caused by the variation of surface tension. By taking into account the assumptions for two-phase dusty fluid flow presented in [23] and [24], the mathematical model is established as:…”

Hydromagnetic mixed convection flow over an exponentially stretching sheet with fluid-particle suspension

“…He encourages some authors to investigate the various aspects of this problem. Siddiqa et.al [9] investigated the numerical solution of a dusty fluid boundary layer problem past a vertical plate by considering such three important two-phase mechanisms. Meanwhile, Gireesha et al [10] investigated the steady dusty fluid considering the heat transfer over a stretching sheet.…”