An investigation of MHD Flows of Nanofluid over an oscillating surface with Joule Heating
Publication Date
2017Author
Manyonge, A.W
Nyamai, B.M
Bitok, J.K
Kandie, J.K
Metadata
Show full item recordAbstract/ Overview
The present study aims at investigating unsteady hydromagnetic flow of viscous
incompressible, conducting nanofluid over an infinite oscillating surface with
Joule heating. The governing equations involved are transformed into
dimensionless form using appropriate non-dimensional variables. The resulting
dimensionless momentum equation is solved analytically by using the method of
separation of variables. The Joule heating terms in the energy equation are
expressed explicitly using this solution. With the help of the superposition
principle, a complementary function is creatively synthesized and a particular
integral is obtained by the method of undetermined coefficients. The complete
solution is obtained by summing the two. The effects of magnetic field strength,
oscillation frequency, nanoparticle concentration, Prandtl number and the Eckert
number are illustrated graphically.