Boundary Layer Flow of Dusty Williamson Fluid with Variable Viscosity Effect Over a Stretching Sheet

Abstract

Numerical investigation of the boundary layer flow of Williamson fluid with the presence of dust particles over a stretching sheet is carried out by taking into account the variable viscosity effect and Newtonian heating boundary condition. The genuinely two-phase flow model which has been proved to be compatible to present the mutual relationship between non-Newtonian fluid and solid particles is considered in this present study. To be precise, the governing equations are initially transformed into ordinary differential equations through formulation process before proceeding further with the numerical computation by using Keller-box method. The resulting equations are then programmed in Matlab software. The obtained numerical results are validated with existing study found in open literature and a good agreement is achieved. The influence of pertinent parameters on velocity and temperature profiles, skin friction coefficient together with Nusselt number is presented in graphical and tabular forms. Results revealed that the increasing Williamson parameter decreases the fluid velocity of both fluid and dust phases. It is expected that the present numerical results could conceivably help in predicting the boundary layer problem arising in two-phase flow in the future.

Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant

“…Bilal et al [30] studied the viscoelastic fluid subject to dust particles; Jalil et al [31] examined the exact solution of the boundary value fluid problem; Reena and Rana [32] considered the micropolar fluid subject to solid dust particles; Dasman et al [33] analyzed the non-Newtonian fluid incorporation of dust particles. More work on dusty fluid subject to various types of geometries was carried out in [34][35][36][37][38].…”

A Comparative Analysis on Single and Two Phase Casson Fluid under Aligned Magnetic Field Effect and Newtonian Heating

“…For numerical purposes, governing equations ( 1) to ( 6) and ( 8) to (10) with corresponding boundary conditions (7) and (11) respectively are transformed into dimensionless ordinary differential equation using the following similarity variables [7,9]:…”

“…Applying (12) to governing equations ( 9) and (10) gives the dimensionless ODE for single phase Casson fluid as:…”

“…This mixture is referred to as dusty Casson fluids. The underlying properties of these types of phase flows is essential for predicting and enhancing processes involving multi-phase systems, as such, numerous authors investigated fluid flow problems in two-phase, and single-phase flows [7][8][9][10][11][12][13][14].…”