Open Access

ARTICLE

MHD UNSTEADY FLOW OF A WILLIAMSON NANOFLUID IN A VERTICAL POROUS SPACE WITH OSCILLATING WALL TEMPERATURE

D. Lourdu Immaculate^a , R. Muthuraj^b,*, Anant Kant Shukla^c, S. Srinivas^d

a Research Scholar, Department of Mathematics, Bharathiar University, Coimbatore and Faculty in dept. of Mathematics, The American College, Madurai-625 002.
b Department of Mathematics, P.S.N.A. College of Engineering & Technology, Dindigul-624622, India.
c Department of Mathematics, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham, Amrita University, India
d Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore – 632 014, India.

* Corresponding Author: email:

Frontiers in Heat and Mass Transfer 2016, 7, 1-14. https://doi.org/10.5098/hmt.7.12

Abstract

This article aims to examine the MHD unsteady flow of Williamson nanofluid in a vertical channel filled with a porous material and oscillating wall temperature. The modeling of this problem is transformed to ordinary differential equations by collecting the non-periodic and periodic terms and then series solutions are obtained by using a powerful method known as the homotopy analysis method (HAM). The influence of involved parameters on heat and mass transfer characteristics of the fluid flow is computed and presented graphically. Further, variations on volume flow rate, coefficient of skin friction, heat transfer rate and mass transfer rate are also discussed through tables. The study reveals that with increasing thermophoresis parameter, the fluid velocity decrease significantly however an enhancement in temperature distribution is noticed. With an increase in Prandtl number lead to enhance fluid temperature whereas it lead to decrease the fluid concentration considerably.

---

Keywords

---