Effect of hall currents on thermal instability of dusty couple stress fluid

• Autorzy: Aggarwal A. K. , Verma A.

Identyfikatory

DOI

10.1515/aoter-2016-0016

• Języki publikacji: EN

Abstrakty

EN

In this paper, effect of Hall currents on the thermal instability of couple-stress fluid permeated with dust particles has been considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, dust particles and Hall currents are found to have destabilizing effect while couple stresses have stabilizing effect on the system. Magnetic field induced by Hall currents has stabilizing/destabilizing effect under certain conditions. It is found that due to the presence of Hall currents (hence magnetic field), oscillatory modes are produced which were non-existent in their absence.

Słowa kluczowe

EN

couple-stress fluid; dust particles; hall currents; stationary convection; oscillatory modes; magnetic field

PL

ziarna pyłu; konwekcja; pole magnetyczne

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2016
• Tom: Vol. 37, no. 3
• Strony: 3--18
• Opis fizyczny: Bibliogr. 21 poz., rys., wz.

Twórcy

autor

Aggarwal A. K.

• Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida (UP) - 201307, India

autor

Verma A.

• Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida (UP) - 201307, India

Bibliografia

• [1] Chandrasekhar S.: Hydrodynamic and Hydromagnetic Stability. Dover, New York 1981.
• [2] Chandra K.: Instability of fluid heated from below. Proc. Roy. Soc. London. 164(A) (1938), 231–258.
• [3] Sharma R.C.: Thermal instability in compressible fluids in the presence of rotation and magnetic field. J. Math. Anal. Appl. 60(1977), 1, 227–235.
• [4] Scanlon J.W., Segel L.A.: Some effects of suspended particles on the onset of Bénard convection. Phys. Fluids. 16(1973), 10, 573–578.
• [5] Stokes V.K.: Couple-stresses in fluids. Phys. Fluids. 9(1966), 9, 1709–1715.
• [6] Walicki E., Walicka A.: Inertia effecting the squeeze film of a couple-stress fluid in biological bearings. Int. J. Appl. Mech. Engg. 4(1999), 2, 363–373.
• [7] Goel A.K., Agrawal S.C., Agrawal G.S.: Hydromagnetic stability of an unbounded couple-stress binary fluid mixture having temperature and concentration gradients with rotation. Indian J. Pure Appl. Math. 30(1999), 10, 991–1001.
• [8] Sharma R.C., Sharma S.: On couple stress fluid heated from below in porous medium. Indian J. Phys. 75B(2001), 59–61.
• [9] Sharma R.C., Sharma S.: On electrical ly conducting couple stress fluid heated from below in porous medium in presence of uniform horizontal magnetic field. Int. J. Appl. Mech. Engg. 6(2001), 2, 251–263.
• [10] Sharma R.C., Thakur D.: On couple stress fluid heated from below in porous medium in hydromagnetics. Czech. J. Phys. 50(2000), 6, 753–758.
• [11] Rathod V.P., Thippeswami G.: Gravity flow of pulsatile blood through closed rectangular inclined channel with micro-organisms. Math. Educ. 33(1999), 1, 40–49.
• [12] Sunil, Sharma R.C., Chandel R.S.: Effect of suspended particles on couple stress fluid heated and soluted from below in porous medium. J. Porous Media 7(2004), 1, 9–18.
• [13] Sharma R.C., Sharma M.: Effect of suspended particles on couple stress fluid heated from below in the presence of rotation and magnetic field. Indian J. Pure Appl. Math. 35(2004), 8, 973–989.
• [14] Gupta A.S.: Hal l effects on thermal instability. Rev. Roum. Math. Pure Appl. 12(1967), 665–677.
• [15] Singh V., Dixit S.: Hal l effect on thermal instability of compressible couple stress fluid in presence of suspended particles. Int. J. Math. Arch. 3(2012), 4, 1701–1711.
• [16] Kumar V., Kumar S.: On a couple stress fluid heated from below in hydromagnetics. Appl. Appl. Math. Inter. J. 5(2010), 10, 1529–1542.
• [17] Aggarwal A.K., Makhija S.: Combined effect of magnetic field and rotation on couple-stress fluid heated from below in the presence of suspended particles. Int. J. Appl. Mech. Engg. 16(2011), 4, 931–942.
• [18] Aggarwal A.K., Verma A.: Effect of suspended particles, magnetic field and rotation on the thermal stability of a ferromagnetic fluid. Int J. Appl. Mech. Engg. 17(2012), 4, 1109–1122.
• [19] Sharma R.C., Aggarwal A.K.: Effect of compressibility and suspended particles on thermal convection in a Walters’ B’ elastico-viscous fluid in hydromagnetics. Int J. Appl. Mech. Engg. 11(2006), 2, 391–399.
• [20] Postrzednik S.: Influence of the heat transfer on the specific thermal capacity of the flowing compressible fluid. Arch. Thermodyn. 25(2004), 2, 95–106.
• [21] Rup K., Nering K.: Unsteady natural convection in micropolar nanofluids. Arch. Thermodyn. 35(2015), 3, 155–170, DOI: 10.2478/aoter-2014-0027.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.