×

Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis. (English) Zbl 1228.76186

Summary: This work is aimed at describing MHD mixed convective heat and mass transfer peristaltic flow through a vertical porous space in the presence of a chemical reaction. The flow is examined in a wave frame of reference moving with the velocity of the wave. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude and phase. The momentum, energy and concentration equation have been linearized under long-wavelength approximation. Expressions for dimensionless stream function, temperature and concentration field are constructed. The features of the fluid flow, heat and mass transfer characteristics are analyzed by plotting graphs and discussed in detail.

MSC:

76V05 Reaction effects in flows
35Q35 PDEs in connection with fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
80A20 Heat and mass transfer, heat flow (MSC2010)
76S05 Flows in porous media; filtration; seepage
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Eytan, O.; Elad, D., Analysis of intra-uterine fluid motion induced by uterine contractions, Bulletin of Mathematical Biology, 61, 221 (1999) · Zbl 1323.92063
[2] Mishra, Manoranjan; Rao, Adabala Ramachandra, Peristaltic transport of a Newtonian fluid in an asymmetric channel, Zeitschrift für Angewandte Mathematik und Physik, 54, 532-550 (2003) · Zbl 1099.76545
[3] Srinivas, S.; Pushparaj, V., Non-linear peristaltic transport in an inclined asymmetric channel, Communications in Nonlinear Science and Numerical Simulation, 13, 1782-1795 (2008)
[4] Ali, Nasir; Hayat, Tasawar; Asghar, Saleem, Peristaltic flow of a Maxwell fluid in a channel with compliant walls, Chaos, Solitons & Fractals, 39, 407-416 (2009) · Zbl 1197.76017
[5] Kothandapani, M.; Srinivas, S., Non-linear peristaltic transport of Newtonian fluid in an inclined asymmetric channel through a porous medium, Physics Letters A, 372, 1265-1276 (2008) · Zbl 1217.76105
[6] Hariharan, Prasanna; Seshadri, V.; Banerjee, Rupak K., Peristaltic transport of non-Newtonian fluid in a diverging tube with different waveforms, Mathematical and Computer Modelling, 48, 998-1017 (2008) · Zbl 1187.76606
[7] Ali, N.; Hayat, T.; Sajid, M., Peristaltic flow of a couple stress fluid in asymmetric channel, Biorheology, 44, 125-138 (2007)
[8] Reddy, M. V.Subba; Rao, A. Ramachandra; Sreenath, S., Peristaltic motion of a power-law fluid in an asymmetric channel, International Journal of Non-Linear Mechanics, 42, 1153-1161 (2007)
[9] Mekheimer, Kh. S., Effect of the induced magnetic field on peristaltic flow of a couple stress fluid, Physics Letters A, 372, 4271-4278 (2008) · Zbl 1221.76231
[10] Hariharan, P.; Seshadri, V.; Banerjee, Rupak K., Peristaltic transport of non-Newtonian fluid in a diverging tube with different wave forms, Mathematical and Computer Modelling, 48, 998-1017 (2008) · Zbl 1187.76606
[11] Teran, Joseph; Fauci, Lisa; Shelley, Michael, Peristaltic pumping and irreversibility of a stokesian viscoelasltic fluid, Physics of Fluids, 20, 1-10 (2008) · Zbl 1182.76754
[12] Jimenez-Lozano, J.; Sen, Mihir, Stream line topologies of two-dimensional peristaltic flow and their bifurcations, Chemical Engineering and Processing, 49, 704-715 (2010)
[13] Radhakrishnamacharya, G.; Radhakrishna Murthy, V., Heat transfer to peristaltic transport in a non-uniform channel, Defence Science Journal, 43, 275-280 (1993)
[14] Radhakrishnamacharya, G.; Srinivasulu, Ch., Influence of wall properties on peristaltic transport with heat transfer, Comptes Rendus Mecanique, 335, 369-373 (2007) · Zbl 1144.76067
[15] Vajravelu, K.; Radhakrishnamacharya, G.; Radhakrishnamurty, V., Peristaltic flow and heat transfer in a vertical porous annulus, with long-wavelength approximation, International Journal of Non-Linear Mechanics, 42, 754-759 (2007) · Zbl 1200.76192
[16] Srinivas, S.; Kothandapani, M., Peristaltic transport in an asymmetric channel with heat transfer-a note, International Communication in Heat and Mass Transfer, 35, 514-522 (2008) · Zbl 1217.76105
[17] Kothandapani, M.; Srinivas, S., On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium, Physics Letters A, 372, 4586-4591 (2008) · Zbl 1221.76044
[18] Mekheimer, Kh. S.; Abd Elmaboud, Y., The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope, Physics Letters A, 372, 1657-1665 (2008) · Zbl 1217.76106
[19] Hayat, T.; Qureshi, M. U.; Hussain, Q., Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in a porous space, Applied Mathematical Modelling, 33, 1862-1873 (2009) · Zbl 1205.76254
[20] Nadeem, S.; Hayat, T.; Akbar, Noreen Sher; Malik, M. Y., On the influence of heat transfer in peristalsis with variable viscosity, International Journal of Heat and Mass Transfer, 52, 4722-4730 (2009) · Zbl 1176.80030
[21] Srinivas, S.; Gayathri, R., Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium, Applied Mathematics and Computation, 215, 185-196 (2009) · Zbl 1172.76051
[22] Srinivas, S.; Gayathri, R.; Kothandapani, M., The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport, Computer Physics Communications, 180, 2115-2122 (2009) · Zbl 1197.76157
[23] Nadeem, S.; Akram, Safia, Heat transfer in a peristaltic flow of MHD fluid with partial slip, Communications in Nonlinear Science and Numerical Simulation, 15, 312-321 (2010) · Zbl 1221.76232
[24] Ali, N.; Sajid, M.; Javed, T.; Abbas, Z., Heat transfer analysis of peristaltic flow in a curved channel, International Journal of Heat and Mass Transfer, 53, 3319-3325 (2010) · Zbl 1194.80004
[25] Mekheimer, Kh. S.; Husseny, S. Z.A.; Abd Elmaboud, Y., Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel, Numerical Methods for Partial Differential Equations, 26, 747-770 (2010) · Zbl 1267.76108
[26] 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, 197-208 (2009) · Zbl 1165.76052
[27] Nadeem, S.; Akbar, Noreen Sher; Bibi, Naheeda; Ashiq, Sadaf, Influence of heat and mass transfer on peristaltic flow of a third order fluid in a diverging tube, Communications in Nonlinear Science and Numerical Simulation, 15, 2916-2931 (2010)
[28] Hayat, T.; Hina, S., The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer, Nonlinear Analysis. Real World Applications, 11, 3155-3169 (2010) · Zbl 1194.35328
[29] 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, Archieve of Applied Mechanics, 78, 599-624 (2007) · Zbl 1169.76057
[30] Nadeem, S.; Akbar, Noreen Sher, Influence of radially varying MHD on the peristaltic flow in an annulus with heat and mass transfer, Journal of the Taiwan Institute of Chemical Engineers, 41, 286-294 (2010) · Zbl 1222.76123
[31] Srinivas, S.; Muthuraj, R., MHD flow with slip effects and temperature-dependent heat source in a vertical wavy porous space, Chemical Engineering Communications, 197, 1387-1403 (2010)
[32] Muthuraj, R.; Srinivas, S., Mixed convective heat and mass transfer in a vertical wavy channel with traveling thermal waves and porous medium, Computers and Mathematics with Applications, 59, 3516-3528 (2010) · Zbl 1197.76130
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.