Simultaneous Effects of Heat Transfer and Variable Viscosity on Peristaltic Transport of Casson Fluid Flow in an Inclined Porous Tube
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Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Department of Mathematics, SSA Government First Grade College (Autonomous), Ballari, Karnataka, India
Department of Mathematics, Vijayanagara Srikrishnadevaraya University, Ballari, Karnataka, India
Online publication date: 2019-06-03
Publication date: 2019-06-01
International Journal of Applied Mechanics and Engineering 2019;24(2):309-328
The present study investigates the combined effects of varying viscosity and heat transfer on a Casson fluid through an inclined porous axisymmetric tube in the presence of slip effects. The modeled governing equations are solved analytically by considering the long wavelength and small Reynolds number approximations. The numerical integration is employed to obtain pressure rise and frictional force. A parametric analysis has been presented to study the effects of the Darcy number, angle of inclination, varying viscosity, velocity slip, thermal slip, yield stress, amplitude ratio, Prandtl number and Eckert number on the pressure rise, pressure gradient, streamlines, frictional force and temperature. The study reveals that an increase in the angle of inclination and viscosity parameter has a proportional increase in the pressure rise. Also, an increase in the porosity causes a significant reduction in the pressure rise.
Latham W. (1966): Fluid motions in the peristaltic pump. – M.S. Thesis, Boston: Massachusetts Institute of Technology.
Burns J.C. and Parkes T. (1967): Peristaltic motion. – Journal of Fluid Mechanics, vol.29, pp.731-743.
Shapiro A.H., Jaffrin M.Y. and Weinberg S.L. (1969): Peristaltic pumping with long wavelengths at low Reynolds number. – Journal of Fluid Mechanics, vol.37, pp.799-825.
Rajashekhar C., Manjunatha G., Prasad K.V., Divya B.B. and Vaidya H. (2018): Peristaltic transport of twolayered Herschel Bulkley fluid. – Cogent Engineering, vol.5, pp.1495592.
Elshehawey E.F., Mekheimer K., Kaldas S. and Afifi N. (1999): Peristaltic transport through a porous medium. – J. Biomath., vol.14.
Elshehawey E.F. and Husseny S.Z.A. (2000): Effects of porous boundaries on peristaltic transport through a porous medium. – Acta Mechanica, vol.143, pp.165-177.
Vajravelu K., Sreenadh S., Lakshminarayana P., Sucharitha G. and Rashidi M.M. (2016): Peristaltic flow of Phan-Thein-Tanner fluid in an asymmetric channel with porous medium. – Journal of Applied Fluid Mechanics, vol.09, pp.1615-1625.
Sreenadh S., Prasad K.V., Vaidya H., Sudhakar E., Gopi Krishna G. and Krinshnamurty M. (2016): MHD Couette flow of a Jeffrey fluid over a deformable porous layer. – Int. J. Appl. Comput. Math., vol.03, pp.2125- 2138.
Sankad G.C. and Nagathan P.S. (2017): Transport of MHD couple stress fluid through peristaltis in a porous medium under the influence of heat transfer and slip effects. – Int. J. of Applied Mechanics and Engineering, vol.22, No.2, pp.403-414.
Ellahi R., Raza M. and Akbar N.S. (2017): Study of peristaltic flow of nanofluid with entropy generation in a porous medium. – Journal of Porous Media, vol.20, pp.461-478.
Blair S.G.W. (1959): An equation for the flow of blood plasma and serum through glass capillaries. – Nature, vol.183, pp.613-614.
Nagarani P. (2010): Peristaltic transport of Casson fluid in an inclined channel. – Korea-Australia Rheology Journal, vol.22, pp.105-111.
Vajravelu K., Sreenadh S., Devaki P. and Prasad K.V. (2016): Peristaltic pumping of a Casson fluid in an elastic tube. – Journal of Applied Fluid Mechanics, vol.09, pp.1897-1905.
Prasad K.V., Vajravelu K., Vaidya H., Shivakumara I.S. and Basha N.Z. (2016): Flow and heat transfer of a Casson Nanofluid over a nonlinear stretching sheet. – Journal of Nanofluids, vol.05, pp.743-752.
Vajravelu K., Prasad K.V., Vaidya H., Basha N.Z. and Chiu-On-Ng. (2017): Mixed convective flow of a Casson fluid over a stretching sheet. – International Journal of Applied and Computational Mathematics, vol.03, pp.1619-1638.
Chaturani P. and Narasimhan N. (1988): Theory for flow of Casson and Herschel-Bulkley fluids in coneplate viscometers. – Biorheology, vol.25, pp.199-207.
Manjunatha G., Basavarajappa K.S., Thippeswamy G. and Vaidya H. (2013): Peristaltic transport of three layered viscous incompressible fluid. – Global Journal of Pure and Applied Mathematics, vol.09, pp.93-107.
Manjunatha G. and Rajashekhar C. (2018): Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with orous walls. – Journa of Advanced Research in Fluid Mechanics and Thermal Sciences, vol.43, pp.67-80.
Radhakrishnamacharya G. and Srinivasulu C. (2007): Influence of wall properties on peristaltic transport with heat transfer. – Comptes Rendus Mecanique, vol.335, pp.369-373.
Srinivas S. and Kothandapani M. (2008): Peristaltic transport in an asymmetric channel with heat transfer a note. – International Communications in Heat and Mass Transfer, vol.35, pp.514-522.
Nadeem S. and Akbar, N.S. (2009): Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube. – Communication in Nonlinear Science and Numerical Simulation, vol.14, pp.4100-4113.
Vajravelu K., Sreenadh S. and Lakshminarayana P. (2011): The influence of heat transfer on peristaltic transport of a Jeffery fluid in a vertical porous stratum. – Communications in Nonlinear Science and Numerical Simulation, vol.16, pp.3107-3125.
Vajravelu K., Sreenadh S., Dhananjaya S. and Lakshminarayana P. (2016): Peristaltic flow and heat transfer of a conducting Phan-Thien-Tanner fluid in an asymmetric channel – Application to chime movement in small intestine. – Int. J. of Applied Mechanics and Engineering, vol.21, pp.713-736.
Ramesh K. and Devakar, M. (2017): Influence of heat transfer on the peristaltic transport of Walters’B fluid in an inclined annulus. – Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol.39, pp.2571-2584.
Hayat T., Zahir H., Alsaedi A. and Ahmad, B. (2017): Heat transfer analysis on peristaltic transport of Ree- Eyring fluid in a rotating frame. – Chinese Journal of Physics, vol.55, pp.1894-1907.
Ebaid A., Emad H. A. and Vajravelu K. (2017): Analytical solution for peristaltic transport of viscous nanofluid in an asymmetric channel with full slip and convective conditions. – Communications in Theoretical Physics, vol.68, pp.96-102.
Vaidya H., Manjunatha G., Rajashekhar C. and Prasad K.V. (2018): Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube. – Multidiscipline Modelling in Materials and Structures, vol.14, pp.940-959.
Devaki P., Sreenadh S., Vajravelu K., Prasad K.V. and Vaidya H. (2018): Wall properties and slip consequences on peristaltic transport of a Casson liquid in a flexible channel with heat transfer. – Applied Mathematics and Nonlinear Sciences, vol.3, pp.277-290.
Hayat T. and Ali N. (2008): Effect of variable viscosity on the peristaltic transport of a Newtonian fluid in an asymmetric channel. – Applied Mathematical Modelling, vol.32, pp.761-774.).
Lachiheb M. (2016): On the effect of variable viscosity on the peristaltic transport of a Newtonian fluid in an asymmetric channel. – Canadian Journal of Physics, vol.94, pp.320-327.
Awais M., Bukhari U. Ali A. and Yasmin H. (2017): Convective and peristaltic viscous fluid flow with variable viscosity. – Journal of Engineering Thermophysics, vol.26, pp.69-78.
Saffman P.G. (1971). On the boundary conditions at the surface of a porous medium. – Studies in Applied Mathematics, vol.01, pp.93-101.
Bird R.B., Stewart W.E. and Lightfoot E.N. (1976): Transport Phenomena. – New York: Wiley.
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