Heat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation

Document Type: Research Paper


1 Research Scholar (Reg No: PP.MAT. 0013), Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India

2 Associate Professor, Humanities and Basic Sciences Department, G.Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, India


This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The influence of varied governing parameters is discussed and illustrated diagrammatically through a set of figures. It can be seen that the axial velocity enhances with an increase in gravity parameter. It is observed that the temperature of the fluid reduces within the tapered asymmetric vertical channel by an increase in thermal radiation parameter. Blood flow in concentration profile increases with an increase in thermal radiation parameter. It is worth mentioning that the rate of pumping rises in all the four regions, i.e. retrograde pumping region, peristaltic pumping region, free pumping region and an augmented region with an increase in Prandtl fluid parameter.


Main Subjects

[1] Latham, T. W., Fluid motion in a peristaltic pump. MS. Thesis, Massachusetts Institute of Technology, Cambridge, 1966.

[2] Shapiro, A.H., Jaffrin, M.Y., Weinberg, S.L., Peristaltic pumping with long wavelengths at low Reynolds number, Journal of Fluid Mechanics, 37, 1969, 799-825.

[3] Parkes, J., Burns, J.C., Peristaltic motion, Journal of Fluid Mechanics, 29, 1967, 731–743.

[4] Fung, Y.C., Yih. C.S., Peristaltic transport, Journal of Applied Mechanics Trans. ASME, 5, 1968, 669-675.

[5] Zien, T.F., Ostrach, S.A., Long wave length approximation to peristaltic motion, Journal of Biomechanics, 3, 1970, 63.

[6] Raju, K.K., Devanathan, R., Peristaltic motion of a non-Newtonian fluid, Rheologica Acta, 11, 1972, 170-179.

[7] Srivastava, L.M., Srivastava, V.P., Sinha, N.S., Peristaltic transport of a physiological fluid, Part I, Flow in non-uniform geometry, Biorheology, 29, 1983, 153-166.

[8] Xiao, Q., Damodaran, M.A., Numerical investigation of peristaltic waves in circular tubes, International Journal of Computational Fluid Dynamics, 16, 2002, 201–216.

[9] Elsehawey, E.F., Sobh, A.M., Peristaltic Viscoelastic Fluid Motion in a Tube, International Journal of Mathematics and Mathematical Sciences, 26, 2001, 21-34.

[10] Kalidas, D., Effects of Slip and Heat Transfer on MHD Peristaltic Flow in An Inclined Asymmetric Channel, Iranian Journal of Mathematical Sciences and Informatics, 7(2), 2012, 35-52.

[11] Ravikumar, S., Effect of couple stress fluid flow on magnetohydrodynamic peristaltic blood flow with porous medium trough inclined channel in the presence of slip effect-Blood flow study, International Journal of Bio-Science and Bio-Technology,7(5), 2015, 65-84.

[12] Ravikumar, S., Effects of the couple stress fluid flow on the magnetohydrodynamic peristaltic motion with a uniform porous medium in the presence of slip effect, Jordan Journal of Mechanical and Industrial Engineering, 9(4), 2015, 269-278.

[13] Kothandapani, M., Prakash, J., Pushparaj, V., Analysis of heat and mass transfer on MHD peristaltic flow through a tapered asymmetric channel, Journal of Fluids, 2015, Article ID 561263, 9 p.

[14] Gangavathi, P., Subba Reddy, M.V., Ramakrishna, P., Peristaltic flow of a prandtl fluid in an asymmetric channel under the effect of magnetic field, International Journal of Conceptions on Computing and Information Technology, 2(1), 2014, 26-31.

[15] Ogulu, T.A., Effect of heat generation on low Reynolds number fluid and mass transport in a single lymphatic blood vessel with uniform magnetic field, International Communications in Heat and Mass Transfer, 33(6), 2006, 790-799.

[16] Eldabe, N.T.M., El-Sayed, M.F., Ghaly, A.Y., Sayed, H.M., Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Archive of Applied Mechanics, 78(8), 2008, 599-624.

[17] Srinivas, S., Kothandapani, M., The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Applied Mathematics and Computation, 213(1), 2009, 197-208.

[18] Abbasi, F.M., Hayat, T., Ahmad, B., Chen, B., Peristaltic flow with convective mass condition and thermal radiation, Journal of Central South University, 22, 2015, 2369-2375.

[19] Ravikumar, S., Analysis of heat transfer on MHD peristaltic blood flow with porous medium through coaxial vertical tapered asymmetric channel with radiation – Blood flow study, International Journal of Bio-Science and Bio-Technology, 8(2), 2016, 395-408.

[20] Hayat, T., SaimaRani, Alsaedi, A., Rafiq, M., Radiative peristaltic flow of magneto nanofluid in a porous channel with thermal radiation, Results in Physics, 7, 2017, 3396-3407.

[21] Ramesh, K., Influence of heat and mass transfer on peristaltic flow of a couple stress fluid through porous medium in the presence of inclined magnetic field in an inclined asymmetric channel, Journal of Molecular Liquids, 219, 2016, 256-271.

[22] Sheikholeslami, M., Ganji, D.D., Javed, M.Y., Ellahi, R., Effect of thermal radiation on magnetohydrodynamic nanofluid flow and heat transfer by means of two phase model, Journal of Magnetism and Magnetic Materials, 374, 2015, 36-43.

[23] Ravikumar, S., Ameer Ahamad, N., Joule heating and mass transfer on MHD peristaltic hemodynamic Jeffery fluid with porous medium in a tapered vertical channel-Blood flow analysis model, International Journal of Bio-Science and Bio Technology, 9(1), 2017, 1-22.

[24] Abbasi, F.M., Shehzad, S.A., Convective thermal and concentration transfer effects in hydromagnetic peristaltic transport with Ohmic heating, Journal of Advanced Research, 8(6), 2017, 655-661.

[25] Ravikumar, S., Abzal, S.K., Combined influence of hall currents and joule heating on hemodynamic peristaltic flow with porous medium through a vertical tapered asymmetric channel with radiation, Frontiers in Heat and Mass Transfer, 9(19), 2017, 1-9.

[26] Ravikumar, S., Study of hall current, radiation and velocity slip on hydromagnetic physiological hemodynamic fluid with porous medium through joule heating and mass transfer in presence of chemical reaction, International Journal of Heat and Technology, 36(2), 2018, 422 -432

[27] Zeeshan, A., Ijaz, N., Bhatti, M.M., Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer, Mechanics & Industry, 19(4), 2018, 401.

[28] Rashidi, M.M., Yang, Z., Bhatti, M.M., Abbas, M.A., Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave, Thermal Science, 22(6A), 2018, 2439-2448.

[29] Zeeshan, A., Fatima, A., Khalid, F., Bhatti, M.M., Interaction between blood and solid particles propagating through a capillary with slip effects, Microvascular Research, 119, 2018, 38-46

[30] Patel, M., Timol, M.G., The stress strain relationship for viscous-inelastic non-Newtonian fluids, International Journal of Applied Mathematics and Mechanics, 6(12), 2010, 79- 93.