Heat transfer and hydromagnetic effects on the unsteady thin film flow of Oldroyd-B fluid over an oscillating moving vertical plate

The problem of heat transfer hydro magnetic Oldroyd-B fluid in vertical oscillating belt has been investigated in unsteady state. The obtained model problems are solved for the exact analytic solutions using Optimal Homotopy Asymptotic Method (OHAM). Epressions for the temperature and velocity distr...

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Bibliographic Details
Main Authors: Shah, Qayyum, Mamat, Mustafa Bin, Gul, Taza, Tofany, Novan
Format: Conference Proceeding
Language:English
Subjects:
Asymptotic methods
Gravitational effects
Heat transfer
Magnetic properties
Mass flow rate
Parameters
Relaxation time
Thin films
Unsteady state
Velocity distribution
Vertical oscillations
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Summary:The problem of heat transfer hydro magnetic Oldroyd-B fluid in vertical oscillating belt has been investigated in unsteady state. The obtained model problems are solved for the exact analytic solutions using Optimal Homotopy Asymptotic Method (OHAM). Epressions for the temperature and velocity distribution with the mass flow rate are obtained. Heat transfer rate of the fluid at the belt is also calculated. These expressions are evaluated analytically for different values of the parameters. The effect of relevant parameters like κ 1 relaxation time parameter, κ 2 retardation time parameter, ϒ gravitational effect, M magnetic parameter, B r Brinkman and P r Prandtl numbers on velocity and temperature fields has been studied and presented graphically.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4965205