Effect of Cross Diffusion on the Onset of Double Diffusive Marangoni Convection in a Fluid Layer
Keywords:
Double Diffusive Convection, Soret Effects, Dufour EffectsAbstract
In the present study, double-diffusive convection in a horizontal layer of a fluid in the presence of temperature gradients (Soret effects 1 ?) and concentration gradients (Dufour effects 2 ? ) are considered. The onset of convection is studied using linear stability analysis for temperature and concentration boundary conditions. The effects of critical Marangoni numbers, Dufourcoefficient 1 ? , Soret coefficient 2 ? and diffusivity ratio ? on stationary, oscillatory convection are shown graphically and the effects of various parameters have been discussedin detail.
References
1. Mojtabi A, Charrier-Mojtabi MC. Handbook of Porous Media, Marcel Dekker, New York, 2005: 269-320.
2. Stern ME. Journal of Fluid Mechanics 1969; 35: 209- 221.
3. Griffith RW. J Fluid Mech 1981; 102: 221–248. 4. Malashetty MS, Gaikwad SN. Int J Eng Sci 2002; 40: 773–787.
5. Bhadauria BS. Transp Porous Media 2007; 70: 191–211.
6. Nield DA, Kuznetsov AV. Int J Therm Sci 2007; 46: 1211-1218.
7. Kuznetsov AV, Nield DA. Transp Porous Media 2010; 85: 941–951.
8. Kumar A, Bhadauria BS. Transp Porous Media 2011; 87: 229–250.
9. McTaggart. J Fluid Mech 1983; 10: 212–218.
10. Rudraiah N, Siddheshwar PG. 2000 Aerospace Science and Technology 1983; 4: 517–523. 11. Turner JS. Cambridge University Press, Cambridge. 1973.
12. Chen S, Tolke J, Krafczyk M. International Journal of Heat and Fluid Flow 2010; 31: 217-226.
13. Malashetty MS, Biradar BS. Physics of Fluids 2011; 23: 122-126.
14. Nield DA, Bejan A. Third. ed. Springer-Verlag. New York. 2006.
15. Gangadharaiah YH. Journal of Applied Fluid Mechanic 2016; 9: 221-229.
16. Gangadharaiah YH. Journal of Applied Fluid Mechanics 2017; 10: 661-666.
17. Gangadharaiah YH. J Adv Maths Appl 2015; 4: 1-6.
18. Gangadharaiah YH. J Adv Maths Appl 2014; 3: 158-164.
19. Gangadharaiah YH, Suma SP. J Porous Material Appl 2013; 1: 158-164.
20. Gangadharaiah YH. International Journal of Innovative Research in Science, Engineering and Technology 2013; 131: 137-144.
21. Vishwambhar SP, Timol. J Adv Maths Appl 2012; 1: 264-268.
2. Stern ME. Journal of Fluid Mechanics 1969; 35: 209- 221.
3. Griffith RW. J Fluid Mech 1981; 102: 221–248. 4. Malashetty MS, Gaikwad SN. Int J Eng Sci 2002; 40: 773–787.
5. Bhadauria BS. Transp Porous Media 2007; 70: 191–211.
6. Nield DA, Kuznetsov AV. Int J Therm Sci 2007; 46: 1211-1218.
7. Kuznetsov AV, Nield DA. Transp Porous Media 2010; 85: 941–951.
8. Kumar A, Bhadauria BS. Transp Porous Media 2011; 87: 229–250.
9. McTaggart. J Fluid Mech 1983; 10: 212–218.
10. Rudraiah N, Siddheshwar PG. 2000 Aerospace Science and Technology 1983; 4: 517–523. 11. Turner JS. Cambridge University Press, Cambridge. 1973.
12. Chen S, Tolke J, Krafczyk M. International Journal of Heat and Fluid Flow 2010; 31: 217-226.
13. Malashetty MS, Biradar BS. Physics of Fluids 2011; 23: 122-126.
14. Nield DA, Bejan A. Third. ed. Springer-Verlag. New York. 2006.
15. Gangadharaiah YH. Journal of Applied Fluid Mechanic 2016; 9: 221-229.
16. Gangadharaiah YH. Journal of Applied Fluid Mechanics 2017; 10: 661-666.
17. Gangadharaiah YH. J Adv Maths Appl 2015; 4: 1-6.
18. Gangadharaiah YH. J Adv Maths Appl 2014; 3: 158-164.
19. Gangadharaiah YH, Suma SP. J Porous Material Appl 2013; 1: 158-164.
20. Gangadharaiah YH. International Journal of Innovative Research in Science, Engineering and Technology 2013; 131: 137-144.
21. Vishwambhar SP, Timol. J Adv Maths Appl 2012; 1: 264-268.
Published
2019-01-23
Issue
Section
Research Article
