Numerical Solution for Boundary Layer Flow of a Dusty Micropolar Fluid Due to a Stretching Sheet with Constant Wall Temperature

Anisah Dasman; Abdul Rahman Mohd Kasim; Iskandar Waini; Najiyah Safwa Khashi’ie

Authors

Anisah Dasman Fakulti Sains Komputer and Matematik, Universiti Teknologi MARA Cawangan Pahang, Kampus Jengka, 26400 Bandar Pusat Jengka, Pahang, Malaysia
Abdul Rahman Mohd Kasim Pusat Sains Matematik, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
Iskandar Waini Fakulti Teknologi Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Malaysia
Najiyah Safwa Khashi’ie Fakulti Teknologi Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Malaysia

Keywords:

Dusty micropolar fluid, two phase fluids, bvp4c function, stretching sheet, numerical solution

Abstract

This paper aims to present the numerical study of a dusty micropolar fluid due to a stretching sheet with constant wall temperature. Using the suitable similarity transformation, the governing partial differential equations for two-phase flows of the fluid and the dust particles are reduced to the form of ordinary differential equations. The ordinary differential equations are then numerically analysed using the bvp4c function in the Matlab software. The validity of present numerical results was checked by comparing them with the previous study. The results graphically show the numerical solutions of velocity, temperature and microrotation distributions for several values of the material parameter K, fluid-particle interaction parameter and Prandtl number for both fluid and dust phase. The effect of microrotation is investigated and analysed as well. It is found that the distributions are significantly influenced by the investigated parameters for both phases.