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Chitra, M.
- Influence of Slip Condition on Unsteady Pulsatile Flow Through a Porous Medium in a Circular Pipe
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Authors
M. Chitra
1,
V. Kavitha
1
Affiliations
1 Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, IN
1 Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, IN
Source
Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 441-446Abstract
The unsteady pulsatile flows of a viscous incompressible Newtonian conducting fluid through a porous medium in a circular pipe with slip boundaries are investigated. Main idea of our work is to study these phenomena mathematically and an exact solution of the equation of motion is obtained by applying Bessel function for the axial velocity and shear stress. The effects of permeability parameter (k), Knudsen number (kn) and Womersley parameter (α) on axial velocity and shear stress have been computed graphically.Keywords
Porous Medium, Pulsatile Flow, Slip Flow Condition, Bessel Function.
References
- G. Ahmadi and R. Manvi, Equation of motion for viscous flow through a rigid porous medium, Indian J. Tech. 9 (1971), 441–444.
- Dube, S. N. and Sharma, C. L., (1975). A note on unsteady flow of a dusty viscous fluid in a circular pipe, J. Phy. Soc. Japan. 13(10), pp. 298-310.
- A. Ramachandra Rao and K. S. Deshikachar, Physiological type flow in a circular pipe in the presence of a transverse magnetic field, J. Indian Inst. Sci. 68 (1988), 247–260.
- P. Chaturani and V. Palanisamy, “Pulsatile flow of blood with periodic body acceleration,” International Journal of Engineering Science, vol. 29, no. 1, pp. 113–121, (1991).
- Ritler, J.H. and Peddieson, J., (1997). Transient two phase flows in channels and circular pipes, Proceeding 6th Canadian congress of applied Mechanics.
- Elshehawey, E.F., Elbarbary, E.M.E., Elsoud, A.S.N. and Elshahed, M. (1999) Womersley Problem for Pulsatile Flow of Blood through a Porous Medium. Proceedings of the 6th Conference on Theoretical and Applied Mechanics, Cairo, March 1999, 115-122.
- El-Shehawey, E.F., Elbarbary, E.M.E., Afifi, N.A.S. and Elshahed, M. (2000) MHD Flow of an Elastico-Viscous Fluid under Periodic Body Acceleration. International Journal of Mathematics and Mathematical Sciences, 23, 795-799. http://dx.doi.org/10.1155/S0161171200002817
- Elshehawey, E.F., Elbarbary, E.M.E., Afifi, N.A.S. and El-Shahed, M. (2001) MHD Flow of Blood under Body Acceleration. Integral Transforms and Special Functions, 12, 1-6. http://dx.doi.org/10.1080/10652460108819329
- Wang, C.Y. (2003) Stagnation Flows with Slip: Exact Solutions of the Navier-Stokes Equations. Zeitschrift fur Angewandte Mathematik und Physik, 54, 184-189. http://dx.doi.org/10.1007/PL00012632
- Rathod, V.P. and Tanveer, Shakera: Pulsatile Flow of Couple Stress Fluid through a Porous Medium with Periodic Body Acceleration and Magnetic Field, Bull. Malays. Math. Sci. Soc. (2), 32(2), 245-259, 2009.
- Malekzadeh, A., Heydarinasab, A. and Dabir, B. (2011) Magnetic Field Effect on Fluid Flow Characteristics in a Pipe for Laminar Flow. Journal of Mechanical Science and Technology, 25, 333-339.
- I. M. Eldesoky, “influence of slip condition on peristaltic transport of a compressible Maxwell fluid through porous medium in a tube,” International Journal of Applied Mathematics and Mechanics, vol. 8, no. 2, pp. 99–117, 2012.
- Khem Chand, K. D., Singh and Sanjeev Kumar, “Hydromagnetic periodic flow through a porous medium in a circular pipe with slip flow condition,” International Journal of Physical and Mathematical Sciences, vol.4, no.1,2013.
- I. M. Eldesoky, M. H. Kamel, and R. M. Abumandour, “Numerical study of slip effect of unsteady MHD pulsatile flow through porous medium in an artery using generalized differential quadrature method (comparative study),” World Journal of Engineering and Technology, vol. 2, no. 2, pp. 131–148, 2014.
- Effect of the Suction/Injection on Unsteady MHD Oscillatory Flow Through a Vertical Channel Filled with Porous Medium
Abstract Views :422 |
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Authors
M. Chitra
1,
M. Suhasini
1
Affiliations
1 Department of mathematics, Thiruvalluvar University, Serkkadu, Vellore, IN
1 Department of mathematics, Thiruvalluvar University, Serkkadu, Vellore, IN
Source
Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 498-504Abstract
In this paper, we investigate the combined effect of a transverse Magnetic field and radiative heat transfer on unsteady oscillatory flow through a vertical channel filled with saturated porous medium and non-uniform wall temperature with the effect of suction or injection. The governing equation of oscillatory flow were non-dimensionalized, simplified and solved analytically. The effect of thermal radiation and the Magnetic field parameters on velocity profile, temperature, wall shear stress and the rate of heat transfer under the influence of Hartmann’s number, Grashof number, Darcy parameter, suction /injection parameter are computed graphically.Keywords
MHD Oscillatory Flow, Porous Medium, Heat Transfer, Thermal Radiation, Slip-Condition, Suction/Injection.References
- Raptis,. A and Perdikis, “Unsteady free convective through a porous medium bounded by an infinite vertical plate” International Journal of Engineering Science, Volume 23, 1985,PP 99-105.
- O.D. Makinde and P.Y. Mhone,” Heat transfer to MHD oscillatory flow in a channel filled with porous medium”, Romanian Journal of Physics, Volume 50, 2005, Pp 931-938.
- Mustafa S, Rafi’uddin and M.V. Ramana Murthy, “Unsteady MHD memory flow with oscillatory suction, variable free stream and heat soruce”, ARPN Journal of Engineering and Applied Sciences, Volume, 2008 ,Pp.12-16.
- J.C. Umavathi, A.J. Chamkha and A. Mateenand, “Al-Mudhat in a horizontal composite porous medium channel”, Nonlinear Anal.: Model. Contr, Volume 14, 2009, Pp.397-415.
- M.M Hamza, B.Y Isah and H.Usman, “Unsteady heat transfer to MHD Oscillatory flow through a porous medium under slip condition”, International Journal of Computer Applications, Volume 33, November 2011.
- Rita choundhury and Utpal Jyoti Das, “Heat transfer to MHD oscillatory viscoelastic flow in a channel filled with porous medium”, Physics Resaerch International,Volume 2012, doi:1155/2012/879537
- K.D. Singh, “Effect of slip condition on viscoelastic MHD Oscillatory forced convection flow in a vertical channel with heat radiation”, International Journal of Applied Mechanics and Engineering, Volume 18, No.4, 2013, pp.1237-1248.
- S.N.Sahoo, “Heat and mass transfer effect on MHD flow of a viscoelastic fluid through a porous medium bounded by an oscillating porous plate in slip-flow regime”, International Journal of Chemical Engineering, Volume13, June 2013, doi:10.1155/2013/380679.
- K.M. Joseph, P. Ayuba, L.H. Yusuf, S.M. Mohammed and I.J. Ayok, “Chemically reacting fluid on unsteady MHD Oscillatory slip flow in a planer channel with varying temperature and concentration in the presence of suction/injection” ,International Journal of Scientific Engineering and Applied Science, Volume-1, Issue -5, August 2015, ISSN:2395-3470
- J.A. Falade, Joel C Ukaegbu, A.C. Egere, O. Samuel and O. Adesanya, “MHD Oscillatory flow through a porous channel saturated with porous medium”, Alexandria Engineering Journal, volume 56, 2016,doi:10.1016/j.aej.2016.09.016.
- Analytical Solution of Dusty Viscous Air Flow Through a Human Respiratory Tract with Time Varying Pressure Gradient
Abstract Views :404 |
PDF Views:0
Authors
M. Chitra
1,
S. Shabana
1
Affiliations
1 Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamilnadu, IN
1 Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamilnadu, IN
Source
Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 614-618Abstract
The unsteady laminar flow of a dusty viscous airflow with uniform distribution of dust particles during inhalation in the trachea of the human respiratory tract under the influence of time dependent exponential pressure gradient have been investigated. The governing equations are solved analytically by using Hankle transformation. The effect of dust parameters are the mass concentration of the dust ′f′ and relaxation time ′τ′ on velocity and wall shear stress of clean air, air with fine dust particles are computed graphically.Keywords
Laminar Flow, Exponential Pressure Gradient, Mass Concentration, Relaxation Time, Fine Dust Particles.References
- Synal DC, Dasguptha S. Unsteady Flow of Dusty Conducting Incompressible Fluid through a Rectangular Tube was Considered, Bull. Cal. Math. Soc. 2002; 94(4): 237-304.
- Saffman PG. On the Stability of Laminar Flow of a Dusty Gas .J. Fluid Mech., 1962; 13,120.
- Narsimlu G, Anand Babu L, Raji Reddy P.The Numerical Solution of the Flow of a Dusty Viscous Liquid through a Circular Cylinder. Advances in applied science research, 2011; 2(6):161-165.
- Gupta RK, Gupta SC. Flow of a Dusty Gas through Channel with Arbitrary Time Varying Pressure Gradient. ZAMP1976; 27,119.
- Michael DH, Miller DA. Plane Parallel Flow of a Dusty Gas. Mathematica, 1966; 13, 97-109.