The Study of Effects of Gravity Modulation on Double Diffusive Convection in Oldroyd-B Liquids

The Study of Effects of Gravity Modulation on Double Diffusive Convection in Oldroyd-B Liquids

K. Anjana

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R. K. Vanishree

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Bangalore University

University of Mysore

The Study of Effects of Gravity Modulation on Double Diffusive Convection in Oldroyd-B Liquids

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Abstract

The effect of gravity modulation is analysed in Oldroyd-B liquids subjected to double diffusive convection. Both linear and non-linear analysis has been done. A regular perturbation technique has been employed to arrive at the thermal Rayleigh number. The results show that stress relaxation destabilises the system whereas strain retardation parameter and Lewis number stabilises the system. Truncated Fourier series expansion gives a system of Lorentz equations that represent the non-linear analysis. Nusselt and Sherwood numbers are used to quantify the heat and mass transfer respectively. It is observed that Lewis number and strain retardation parameter decreases heat and mass transfer and stress relaxation parameter increases them. It is seen that modulation gives rise to sub-critical motion.

References

19 Cites in Article

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Charles Vest,S Vedat,Arpaci (1969). Stability of natural convection in a vertical slot.
M Sokolov,R Tanner (1972). Convective Stability of a General Viscoelastic Fluid Heated from Below.
Iii Green (1968). Effect of time-periodic vertical oscillations of the Rayleigh-Bénard system on nonlinear convection in viscoelastic liquids.
Zhenyu Li,Roger Khayat (2005). Three-dimensional thermal convection of viscoelastic fluids.
Zhenyu Li,Roger Khayat (2005). Finite-amplitude Rayleigh–Bénard convection and pattern selection for viscoelastic fluids.
G Pradeep,C Siddheshwar,Krishna Sri (2001). Rayleigh-Benard Convection in a viscoelastic fluid-filled high-porosity medium with non-uniform basic temperature gradient.
M Malashetty,P Siddheshwar,Mahantesh Swamy (2006). Effect of Thermal Modulation on the Onset of Convection in a Viscoelastic Fluid Saturated Porous Layer.
R Sharma (2006). Effect of rotation on thermal instability of a viscoelastic fluid.
A Mojtabi,M Charrier-Mojtabi (2000). Hand Book of Porous Media.
M Malashetty,M Swamy (2010). Onset of double diffusive convection in a viscoelastic fluid layer.
Henry Stommel,Arnold Arons,Duncan Blanchard (1956). An oceanographical curiosity: the perpetual salt fountain.
Melvin Stern (1960). The “Salt-Fountain” and Thermohaline Convection.
M Stern (1969). Convective instability of salt fingers.
Pradeep Siddheshwar,S Pranesh (1999). Effect of temperature/gravity modulation on the onset of magneto-convection in weak electrically conducting fluids with internal angular momentum.
Beer Bhadauria (2006). Temperature Modulation of Double Diffusive Convection in a Horizontal Fluid Layer.
M Narayana,S Gaikwad,P Sibanda,R Malge (2013). Double diffusive magneto-convection in viscoelastic fluids.
B Bhadauria,Palle Kiran (2015). Chaotic and oscillatory magneto-convection in a binary viscoelastic fluid under g-jitter.
P Siddheshwar,B Bhadauria,Pankaj Mishra,Atul Srivastava (2012). Study of heat transport by stationary magneto-convection in a Newtonian liquid under temperature or gravity modulation using Ginzburg–Landau model.
Palle Kiran (2016). Nonlinear thermal convection in a viscoelastic nanofluid saturated porous medium under gravity modulation.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

K. Anjana. 2017. \u201cThe Study of Effects of Gravity Modulation on Double Diffusive Convection in Oldroyd-B Liquids\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5): .

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GJSFR Volume 17 Issue F5
Pg. 51- 69

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 83C27

Submission ReceivedJuly 5, 2017
Peer Review Double Blind
Handling Editor
Accepted July 27, 2017
Published August 11, 2017

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v1.2

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August 24, 2017

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: R. K. Vanishree, K. Anjana (PhD/Dr. count: 0)

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