MHD Fluid Flow of an Exponentially Varying Plasma Density in a Radiating and Slowly Rotating Hot Sphere
International Journal of Astrophysics and Space Science
Volume 6, Issue 1, February 2018, Pages: 18-27
Received: Jun. 15, 2017;
Accepted: Jul. 6, 2017;
Published: Feb. 11, 2018
Views 2532 Downloads 89
B. S. Tuduo, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
T. M. Abbey, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
K. D. Alagoa, Department of Physics, Niger Delta University, Amassoma, Nigeria
The study presents the effect of density variation on the flow structure of a plasma gas in a slowly rotating and radiating hot sphere. The problem which is solved by general perturbation method shows that the plasma temperature decreases to a minimum at a radial distance of 1.4 solar radii and then increased to a maximum value at a radial distance of 3.5 solar radii, for various radiation parameters, N2. The sudden increase in temperature profile when the radial distance is 1.4 solar radii, indicates the heating up of the upper regions of the solar atmosphere.
B. S. Tuduo,
T. M. Abbey,
K. D. Alagoa,
MHD Fluid Flow of an Exponentially Varying Plasma Density in a Radiating and Slowly Rotating Hot Sphere, International Journal of Astrophysics and Space Science.
Vol. 6, No. 1,
2018, pp. 18-27.
Abbey, T. M. (1996); The flow of a two-component plasma gas model past a porous rotating hot sphere, Nig. J. Phys. 8S: 51–60.
Abbey, T. M. and Mbeledeogu, I. U. (1998); Hydrodynamic slip flow of a radiating fluid with Hall current, Part II: Fully developed flow with axial temperature and concentration variation, Int. J. Energy Res., 22: 93–105.
Abbey, T. M. and John E. (2000); Transient slip flow in a two-component Plasma model with Radiative heat transfer, J. Math. Sci. Forum 2: 37–47.
Alagoa, K. D. and Abbey, T. M. (2001); Temperature distribution in the Solar globe due to exponentially varying plasma density, J. Math. Sci. Forum 3: 1–8.
Israel – Cookey, C., Amos, E. and Nwaigwe, C. (2010); MHD oscillatory Couette flow of a radiating viscous fluid in a porous medium with periodic wall temperature, Am. J. Sci. Ind. Res., 1(2): 326–331.
Sanatan, D., Mrinal, J. and Rabindra, N. J. (2011); Radiation effect on natural convection near a vertical plate embedded in porous medium with ramped wall temperature, Open J. of Fluid Dynamics, 1:1–11.
Sherman, F. S. (1990); Viscous flow; flow with nearly constant density and transport properties, International edition, McGraw-Hill.
Badalyan, O. G. (1986); Polarization of white-light corona under hydrostatic density distribution” Astron. and Astrophysics, 168 (1-2): 305–312.
Arthur, N. C., Williams, C. L. and Mildred, S. M. (1991); Solar interior and atmosphere, University of Arizona Press.
Badalyan, O. G. and Livshits, M. A. (1986); The K-corona under hydrostatic density distribution relevance to solar wind” Solar Physics, 103(2): 385–392.
Badalyan, O. G. (1988); Evidence of coronal expansion from data on the electron component, Sov. Astron. 32(2), 205–210.
Priest, E. R. (1982); Solar magneto-hydrodynamics 1, D. Reidel Publishing Company, Holland.
Alagoa, K. D. and Sakanaka P. H. (1998); Gravitational stability of the solar Globe, ICTP: IC/98/112.
Ko, M. (1999); Density of the Sun, In Elert, G. The Physics Factbook.
Zirker, J. B. (2002); Journey from the Center of the Sun, Princeton University Press, 11: 119–127.
Williams, D. R. (2013); Sun Fact Sheet, NASA. Retrieved 2013-08-12.
Bestman A. R. (1988); Unsteady low Reynolds number flow in a heated tube of slowly varying section, J. Austral. Math. Soc. Ser. B. 30: 179–202.
Abbey, T. M., Bestman, A. R. and Mbeledeogu, I. U. (1992); Flow of a two-component plasma model in a porous rotating hot sphere, Astrophysics and Space Sci., 197: 61–76.
Cheng, P. (1964); Two-Dimensional radiating gas flow by moment method, AIAAJ 2 1662.
Abbey, T. M. and Bestman, A. R. (1995); Slip flow in a two-component plasma model with radiative heat transfer” Int. J. Energy Research, 19: 1–6.
Bestman A. R. (1983); Low Reynolds number flow in a heated tube of varying section, J. Austral. Math. Soc. Ser. B. 25: 244–260.
Alagoa, K. D., Tay, G. and Abbey, T. M. (1999); Radiative and convective Effects of a MHD flow through a porous medium sandwiched between two infinite parallel plates with time dependent suction, Astrophysics and Space Sci., 260: 455–468.
Idowu, A. S., Joseph, K. M. and Daniel, S. (2013); Effect of heat and mass transfer on unsteady MHD oscillatory flow of Jeffrey fluid in a horizontal a channel with chemical reaction, IDSR Journal of Mathematics (idsr-jm), 8(5): 74–87.
Eid, A. (2014); Dynamics of a radiating thick shell, Adv. Studies Theor. Phys. 8(4): 163–168.
Abramowitz, M. and Stegun, I. A. (1972); Handbook of mathematical functions, with formulas, graphs and mathematical tables, Tenth Printing, Dover; New York.
Olver, F. W. J. (2010); NIST Handbook of mathematical functions, Cambridge University Press, USA.
Elmegreen, B. G. (1979); Astrophysical Journal, 232: 729.
Myers, P. C. (1985); Protostars and Planets II, ed. M. S. Matthews and D. C. Black (Tucson, AZ: Univ. Arizona Press), 81. GmbH & Co. KGaA, Weinheim.
Van Loo, S., Falle, S. A. E., Hartquist, T. W. and Barker, A. J. (2008); The effect of ambipolar resistivity on the formation of dense cores, Astron. and Astrophysics manuscript no. version 2.
Choi, E., Kim, J. and Wiita, P. J. (2009); An explicit scheme for incorporating ambipolar diffusion in a magnetohydrodynamics code, The Astrophysical J. Supplement Series 181: 413.
Street, R. E. (1960); Rarefied gas dynamics, Pergamon Press.
Ram, P. C. (1988); Hall effect on the hydromagnetic free convective flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant heat flux, Int. J. Energy Research, 12: 227–231.
Ram, P. C. (1990); MHD convective flow of a viscous heat generating fluid in slip flow regime with Hall currents, Int. J. Energy Research, 14: 465–467.
Woods, L. C. (2004); Physics of plasma, Wiley-VCH, Verlag.
Tuduo, B. S. and Abbey, T. M. (2017); Effect of ambipolar diffusion on the flow of a two-component plasma gas model in the Earth’s planetary ionosphere, International Journal of Astrophysics and Space Science. 5(3): 47–54.