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Parandhama, A.
- Unsteady Flow of Three Immiscible Jeffrey Fluids in a Channel
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Authors
Affiliations
1 Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati., IN
2 Department of Mathematics, Sri Venkateswara University, Tirupati-517502., IN
3 School of Advanced Sciences, VIT University, Vellore-632014., IN
1 Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati., IN
2 Department of Mathematics, Sri Venkateswara University, Tirupati-517502., IN
3 School of Advanced Sciences, VIT University, Vellore-632014., IN
Source
Indian Journal of Computational & Applied Mathematics, Vol 1, No 1 (2013), Pagination: 105-144Abstract
Unsteady flow and heat transfer in a horizontal channel consisting of three immiscible Jeffrey fluids occupying equal lengths and bounded by two rigid walls is investigated. The flow between the rigid walls is divided into three zones. The flow in each zone is governed by Jeffrey model. The bounding walls are maintained at different constant temperatures. Further, the fluid in all the three zones is driven by a constant pressure gradient [-δp/δx] and the existence of heat transfer. These do not affect the Pressure gradient. The governing equations describing the flow in the channel are nonlinear partial differential equations and they are reduced to ordinary differential equations by expanding the physical quantities as harmonic and non-harmonic quantities. The velocity field and the temperature distributions in all the three zones are obtained. The influence of physical parameters such as viscosity ratio, Jeffrey parameter, conductivity ratio frequency and periodic frequency parameter on the Velocity and temperature fields are computed numerically and presented graphically.Keywords
Jeffrey Fluid, Unsteady Flow, Heat Transfer, Horizontal Channel.References
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