دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها592
تعداد مقالات8,803
تعداد مشاهده مقاله66,738,856
تعداد دریافت فایل اصل مقاله7,309,676
Bharty, Monal, Srivastava, Atul, Mahato, Hrishikesh. (1402). Stability of Magneto Double Diffusive Convection in Couple Stress Liquid with Chemical Reaction. نشریه هنرهای کاربردی, 10(2), 171-190. doi: 10.22075/jhmtr.2023.30246.1432
Monal Bharty; Atul Kumar Srivastava; Hrishikesh Mahato. "Stability of Magneto Double Diffusive Convection in Couple Stress Liquid with Chemical Reaction". نشریه هنرهای کاربردی, 10, 2, 1402, 171-190. doi: 10.22075/jhmtr.2023.30246.1432
Bharty, Monal, Srivastava, Atul, Mahato, Hrishikesh. (1402). 'Stability of Magneto Double Diffusive Convection in Couple Stress Liquid with Chemical Reaction', نشریه هنرهای کاربردی, 10(2), pp. 171-190. doi: 10.22075/jhmtr.2023.30246.1432
Bharty, Monal, Srivastava, Atul, Mahato, Hrishikesh. Stability of Magneto Double Diffusive Convection in Couple Stress Liquid with Chemical Reaction. نشریه هنرهای کاربردی, 1402; 10(2): 171-190. doi: 10.22075/jhmtr.2023.30246.1432

Stability of Magneto Double Diffusive Convection in Couple Stress Liquid with Chemical Reaction

Journal of Heat and Mass Transfer Research
دوره 10، شماره 2 - شماره پیاپی 20، بهمن 2023، صفحه 171-190    اصل مقاله (1.44 M)
نوع مقاله: Full Length Research Article
شناسه دیجیتال (DOI): 10.22075/jhmtr.2023.30246.1432
نویسندگان
Monal Bharty1؛ Atul Kumar Srivastava* 2؛ Hrishikesh Mahato1
1Department of Mathematics, Central University of Jharkhand, Ranchi, 835222, India
2Department of Mathematics, Sarala Birla University, Ranchi, 835103, India
تاریخ دریافت: 02 فروردین 1402،  تاریخ بازنگری: 10 آبان 1402،  تاریخ پذیرش: 11 آبان 1402 
چکیده
The effect of chemical reaction and external vertical magnetic field on the onset of the double diffusive convection in couple stress fluid between infinite horizontal parallel plates  has been studied.  The effectiveness of vertical magnetic field and chemical reaction were gauged by determining the values of  Chandrashekhar number (Q) and Damk hler number  in terms of other controlling parameters and shown their effect on stability of system through graphs. The entire investigation is performed in two parts: linear and weakly non-linear stability analysis. A comparative study is presented in stationary case of linear stability analysis for four types of bounding surfaces: (a) Realistic bounding surfaces i.e. Rigid-Rigid, Rigid-Free and Free-Rigid (R/R, R/F and F/R) (b) Non Realistic bounding surface i.e. Free-Free (F/F). However, oscillatory case and weakly non-linear stability analysis are restricted for Free-Free (F/F) boundary surfaces. Graphical representations are used to illustrate how different parameters affect stationary, oscillatory, finite-amplitude states and  the amount of heat and mass transfer. By analysing the linear stability analysis, it is observed that the onset of convection is more dominant in oscillatory case than stationary. The stability criteria for Q came out as (in decreasing order) F/F>F/R>R/R>R/F which is different from the criteria came out for rest of the controlling parameters i.e F/R>R/R>F/F>R/F in stationary case. It is also reported that the Q, Couple stress parameter (C) and ratio of heat capacities on heat transfer  is responsible for the delay of the onset of convection while  (impact of chemical reaction) enhances the onset of convection. Non-linear stability analysis using the truncated representation of Fourier series method predicts the occurrence of sub-critical instability in the form of finite amplitude motion. The effect of Q, Lewis number Le, and solute Rayleigh number RaS, increased the amount of heat and mass transfer while C decreased. We also draw streamlines, isotherms, isohalines and magnetic streamlines for different time intervals (unsteady) i.e. for (0.01, 0.03, 0.009, 0.006) and showed the pattern of the onset of convection.
کلیدواژه‌ها
Chemical reaction؛ Couple stress fluid؛ External magnetic field؛ Rayleigh number؛ Stability analysis
مراجع
  1. Stokes, V.K., 1966. Couple stresses in fluids. Physics of Fluids, 9, 1709-1715.
  2. Lin, J.R. and Hung, C.R., 2007. Combined effects of non-Newtonian couple stresses and fluid inertia on the squeeze film characteristics between a long cylinder and an infinite plate. Fluid Dynamics Research, 39, pp.616-631.
  3. Shehawey, E.F.E. and Mekheimer, K.S., 1994. Couple-stresses in peristaltic transport of fluids. Journal of Physics D: Applied Physics, 27, p.1163.
  4. Bodenschatz, E., Pesch, W. and Ahlers, G., 2000. Recent developments in Rayleigh-Bernard convection. Annual Review of Fluid Mechanics, 32, pp.709-778.
  5. Siddheshwar, P.G. and Pranesh, S., 2004. An analytical study of linear and nonlinear convection in Boussinesq–Stokes suspensions. International Journal of Non-Linear Mechanics, 39, pp.165–172.
  6. Sharma, R.C. and Sharma, M., 2004. Effect of suspended particles on couple-stress fluid heated from below in the presence of rotation and magnetic field. Indian Journal of Pure and Applied Mathematics, 35(8), pp.973-989.
  7. Malashetty, M.S. and Basavaraja, D., 2005. Effect of thermal/gravity modulation on the onset of Rayleigh–Benard convection in a couple stress fluid. International Journal of Transport Phenomena, 7, pp.31-44.
  8. Olubode, K., John, O. and Lare, A., 2016. Effects of Some Thermo-Physical Parameters on Free Convective Heat and Mass Transfer over Vertical Stretching Surface at Absolute Zero. Journal of Heat and Mass Transfer Research, 3(1), pp.31-46. doi: 10.22075/jhmtr.2016.424.
  9. Mirzaee, H., Ahmadi, G., Rafee, R. and Talebi, F., 2023. Physical Overview of the Instability in Laminar Wall-Bounded Flows of Viscoplastic and Viscoelastic Fluids at Subcritical Reynolds Numbers. Journal of Heat and Mass Transfer Research, 10(1), pp. 135-146. doi:10.22075/jhmtr.2023.31061.1455.
  10. Umravathi, J.C., Chamkha, A. J., Manjula, M.H. and Al-Mudhaf, A., 2005. Flow and heat transfer of a couple stress fluid sandwiched between viscous fluid layers. Canadian Journal of Physics, 83, pp. 705-720.
  11. Malashetty, M.S., Gaikwad, S.N. and Swamy, M., 2006. An analytical study of linear and non-linear double diffusive convection with soret effect in couple stress liquids. International Journal of Thermal Sciences, 45, pp.897-907.
  12. Gupta, V.K., Singh, A.K.,  Bhadauria, B.S., Hasim, I. and Jawdat, J.M., 2016. Chaotic convection in couple stress liquid saturated porous layer. International Journal of Industrial Mathematics, 8(2), pp.147-156.
  13. Kiyani, M.Z., Waqas, M., Muhammad, T., Abbasi, A.K., Mamat, M. and Sadiq, M., 2022. Thermally radiative couple-stress magnetized liquid featuring Newtonian heating. Waves in Random and Complex Media. doi: 1080/17455030.2022.2044540.
  14. Mishra, P., Reddy, Y.D., Goud, B.S., Kumar, D.,  Kumar, J. and Singh, P.K., 2022. Study on linear and nonlinear stability analysis of double diffusive electro-convection in couple stress anisotropic fluid-saturated rotating porous layer. Journal of  Indian Chemical Society, 99(9), p. 100611.
  15. Pan, Z., Jia, L.,  Mao, Y. and Wang, Q., 2022. Transitions and bifurcations in couple stress fluid saturated porous media using a thermal non-equilibrium model. Applied Mathematics and  Computation, 415, p.126727.
  16. Yadav, D., Mahabaleshwar, U.S., Wakif, A. and Chand, R., 2021. Significance of the inconstant viscosity and internal heat generation on the occurrence of Darcy-Brinkman convective motion in a couple-stress fluid saturated porous medium: an analytical solution. International Communications in Heat and Mass Transfer, 122, p.105165.
  17. Walicki, E. and Walicka, A., 1999. Inertia effects in the squeeze film of a couple-stress fluid in biological bearing. Applied Mechanics and Engineering, 4, pp.363–373.
  18. Kaufman, J., 1994. Numerical models of fluid flow in carbonate platforms: implications for dolomitization. Journal of Sedimentary Research A, 64, pp.128-139.
  19. Gilman, A. and Bear, J., 1994. The influence of free convection on soil salinization in arid regions. Transport in Porous Media, 23, pp.275-301.
  20. Wit, A.D., 2001. Fingering of Chemical Fronts in Porous Media. Physics Review Letter, 87, p. 054502.
  21. Wit, A.D., 2004. Miscible density fingering of chemical fronts in porous media: nonlinear simulations. Physics of Fluids, 16, pp.163-175.
  22. Srivastava, A. K. and Bera, P., 2013. Influence of Chemical reaction on the stability of Thermo-Solutal convection of couple stress fluid in a Horizontal porous layer. Transport in porous Media, 97, pp. 161-184.
  23. Aly, A., Chamkha, A.J. and Raizah, Z.A.S., 2020. Radiation and Chemical Reaction Effects on Unsteady Coupled Heat and Mass Transfer by Free Convection from a Vertical Plate Embedded in Porous Media. Journal of Heat and Mass Transfer Research, 7(2), pp. 95-103. doi: 10.22075/jhmtr.2019.10763.1149.
  24. Ramachandramurthy, V., Kavitha, N. and Aruna, A.S., 2022. The effect of a magnetic field on the onset of Bénard convection in variable viscosity couple-stress fluids using classical Lorenz model. Applications of Mathematics, 67, pp.509–523 .
  25. Bormudoi, M. and Ahmed, N., 2023. Convective MHD flow of a rotating fluid past through a moving isothermal plate under diffusion-thermo and radiation absorption. Journal of Heat and Mass Transfer Research, doi: 10.22075/jhmtr.2023.31013.1454.
  26. Saravana, R., Sreenadh, S., Venkataramana, S., Reddy, R.H. and Kavitha, A., 2011. Influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport of a Jeffery fluid in a non-uniform porous channel. International Journal of Inovative Technology and Creative Engineering, 11(1), pp.10-24.
  27. Parker, E.N., 1966. The dynamical state of the interstellar gas and field. The Astrophysical Journal, 145, pp.811–833.
  28. Stella, L. and Rosner, R., 1984. Magnetic field instabilities in accretion disks. The Astrophysical Journal, 277, pp.312–321.
  29. Hughes, D.W., 2007. Magnetic buoyancy instabilities in the tachocline. In The Solar Tachocline. Cambridge University Press, pp.275-298.
  30. Narahari, M. and Debnath, L., 2013. Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption. Journal of Applied Mathematics and Mechanics, 93(1), pp.38–49.
  31. Srivastava, A. K., Bhadauria, B. S. and Gupta, V. K., 2012. Magneto-convection in an anisotropic porous layer with Soret effect. International Journal of non-linear Mechanics, 47, pp.426-438.
  32. Siddique, I. and Mirza, I.A., 2016. Magneto-hydrodynamic free convection flows of a viscoelastic fluid in porous medium with variable permeability heat source and chemical reaction. Results in Physics, 7, pp.3928-3937.
  33. Wilczynski, F., Hughes, D.W. and Kersale, E., 2022. Magnetic buoyancy instability and the anelastic approximation: regime of validity and relationship with compressible and Boussinesq descriptions. Journal of Fluid Mechanics, 942, A46, pp.1-38. doi:10.1017/jfm.2022.325.
  34. Meenakshi, V., 2014. Dufour and Soret Effect on Unsteady MHD Free Convection and Mass Transfer Flow Past an Impulsively Started Vertical Porous Plate Considering with Heat Generation. Journal of Heat and Mass Transfer Research, 8, pp.257-266.
  35. Mohammad, N., Mohammad, S. and Ahmad, R.R., 2021. Analysis of the Effect of Periodic Magnetic Field, Heat Absorption/Generation and Aspect Ratio of the Enclosure on Non-Newtonian Natural Convection. Journal of Heat and Mass Transfer Research, 8, pp.187-203.
  36. Sahay, J.A., Saikrishnan, P., and Natarajan, E., 2022. Unsteady Magnetohydrodynamic Mixed Convection Flow over a Rotating Sphere with Sinusoidal Mass Transfer, Journal of Heat and Mass Transfer Research, 9, pp.129-140.
  37. Siddabasappa, C., Siddheshwar, P.G. and Makinde, O.D., 2021. A study on entropy generation and heat transfer in a magnetohydrodynamic flow of a couple-stress fluid through a thermal nonequilibrium vertical porous channel. Heat Transfer, pp.1-24.
  38. Mahesh, R., Mahabaleshwar, U.S., Kumar, P.N.V., Öztop, H.F. and Hamdeh, N.A., 2023. Impact of radiation on the MHD couple stress hybrid nanofluid flow over a porous sheet with viscous dissipation. Results in Engineering, 17, p.100905.
  39. Phillips, O. M., 2009. Geological Fluid Dynamics. Cambridge University Press, New York.
  40. Chandrasekhar, S., 1981. Hydrodynamic and Hydromagnetic Stability. Dover: New York.
  41. Finlayson, B.A., 2006. The Method of Weighted Residuals and Variational Principals. Academic Press: London.
  42. Pritchard, D. and Richardson, C.N., 2007. The effect of temperature-dependent solubility on the onset of thermosolutal convection in a horizontal porous layer. Journal of Fluid Mechanics, 571, pp.59–95.
آمار
تعداد مشاهده مقاله: 534
تعداد دریافت فایل اصل مقاله: 436


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب