Two-Phase Mixed Convection Flow of Dusty Williamson Fluid with Aligned Magnetic Field over a Vertical Stretching Sheet

  • Nur Syamilah ArifinEmail author
  • Syazwani Mohd Zokri
  • Abdul Rahman Mohd Kasim
  • Mohd Zuki Salleh
  • Nurul Farahain Mohammad
Conference paper


The mixed convection flow of dusty Williamson fluid over a vertical stretching sheet with the influence of aligned magnetic field is investigated. The mathematical model on two-phase flows of dust particles embedded in Wil-liamson fluid has been considered under Newtonian heating boundary condition by initially applying the similarity transformation to its governing equations. The transformed ordinary differential equations are solved numerically using Runge-Kutta Fehlberg (RKF45) method. Several pertinent parameters such as aligned magnetic field, Williamson parameter, mixed convection parameter, fluid particle interaction parameter, Prandtl number and conjugate parameter on the flow and heat transfer are visualized in graphical form. The results revealed that the fluid particle interaction parameter influencing the fluid velocity which resulted to decrease the fluid motion. The two-phase fluid flow model presented herein can be transformed into classical problem of single phase fluid flow under the condition of the fluid particle interaction parameter is neglected. Therefore, the present mathematical model can be offered as the generalized model of complex fluid with suspended particles


Mixed convection Dusty Williamson fluid Stretching sheet Aligned magnetic field Newtonian heating 



The authors gratefully acknowledge the financial support received from Universiti Malaysia Pahang for (PGRS170397, RDU 160330, & RDU 170328).


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Nur Syamilah Arifin
    • 1
    Email author
  • Syazwani Mohd Zokri
    • 1
  • Abdul Rahman Mohd Kasim
    • 1
  • Mohd Zuki Salleh
    • 1
  • Nurul Farahain Mohammad
    • 2
  1. 1.Applied & Industrial Mathematics Research Group, Faculty of Industrial Sciences & TechnologyUniversiti Malaysia PahangKuantanMalaysia
  2. 2.Department of Computational and Theoretical SciencesKulliyyah of Science, International Islamic University MalaysiaKuantanMalaysia

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