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Sreenadh, S.
- 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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- UMAVATHI, J. C., CHAMKHA, A. J., AL.MUDHAF, A. and MANJULA, M. H., (2004) Convective flow of two immiscible viscous and couple stress fluids through a vertical channel. Proceedings of International Mechanical
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- VASUDEV,C,. RAJESWARA RAO,U., SUBBA REDDY,M. V. and PRABHAKARA RAO, G., (2010) Influence of magnetic field and heat transfer on peristaltic flow of Jeffrey fluid through a porous medium in an
- asymmetric channel. ARPN Journal of Engineering and Applied Sciences. 5, 12.
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- The Effect of Wall Properties on the Convective Peristaltic Transport of a Conducting Bingham Fluid through Porous Medium
Abstract Views :139 |
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Authors
Affiliations
1 Department of Mathematics, Sri Venkateswara University, Tirupati – 517502, Andhra Pradesh, IN
2 Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati – 517102, Andhra Pradesh, IN
3 Department of Mathematics, School of Advanced Sciences , VITUniversity, Vellore - 632014, Tamil Nadu, IN
1 Department of Mathematics, Sri Venkateswara University, Tirupati – 517502, Andhra Pradesh, IN
2 Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati – 517102, Andhra Pradesh, IN
3 Department of Mathematics, School of Advanced Sciences , VITUniversity, Vellore - 632014, Tamil Nadu, IN
Source
Indian Journal of Science and Technology, Vol 9, No 42 (2016), Pagination:Abstract
Objective: In the present paper the influence of heat transfer, wall slip conditions, and wall properties on the peristaltic transport of an incompressible conducting Bingham fluid in a non-uniform porous channel is studied. Methods/Statistical Analysis: Exact analytical solutions have been obtained for the axial velocity and the temperature by using the assumptions of long wavelength and low-Reynolds number. Findings: The effects of the essential parameters on the velocity and temperature distributions are demonstrated through graphs. It is noticed that the presence of porous medium reduces the velocity and temperature in the peristaltic channel. Further, the size of the trapped bolus gets reduced due to the presence of porous medium/magnetic field whereas opposite behaviour is noticed with the increasing slip at the walls. Application/Improvements: The results reveal that the presence of magnetic field/porous medium has remarkable effect on the peristaltic transport of yield stress fluids (such as blood) which may lead to possible technological applications in designing bio- medical instruments.Keywords
Conducting Bingham Fluid, Convective Peristaltic Transport, Porous Medium, Trapping Phenomena, Wall Properties.Full Text
- Convection in a Vertical Channel Filled with a Casson Nanofluid
Abstract Views :154 |
PDF Views:0
Authors
K. Sushma
1,
S. Sreenadh
1
Affiliations
1 Department of Mathematics, S.V. University, Tirupati– 517 502, A.P., IN
1 Department of Mathematics, S.V. University, Tirupati– 517 502, A.P., IN
Source
Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 345-352Abstract
The laminar fully developed mixed convection flow of a Casson nanofluid in a vertical channel bounded by parallel plates with asymmetrical thermal and nanoparticle concentration conditions at the walls is investigated. The nanofluid model used here includes the effects of Brownian diffusion and thermophoresis. The expressions for the velocity, temperature and nanoparticle concentration profiles are obtained. Nusselt and Sherwood numbers at the left wall of the channel are determined and discussed in detail. When the Casson parameter tend to zero, the results deduced agree with the corresponding ones of Grosan and Pop [23]. It is observed that the velocity decreases at the both walls (hot and cold walls) due to increasing Casson parameter. Further a numerical solution is also obtained and is compared with the analytical solution.Keywords
Vertical Channel, Convection Flow, Casson Nanofluid.References
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