Series solution of unsteady free convection flow with mass transfer along an accelerated vertical porous plate with suction

• Autorzy: Haider Zaman , Muhammad Ayub
• Języki publikacji: EN

Abstrakty

EN

The problem of unsteady free convection flow is considered for the series solution (analytic solution). The flow is induced by an infinite vertical porous plate which is accelerated in its own plane. The series solution expressions for velocity field, temperature field and concentration distribution are presented. The influence of important parameters is seen on the velocity, temperature, concentration, skin friction coefficient and temperature gradient with the help of graphs and tables. Convergence is also properly checked for different values of the important parametes for velocity field, temperature and concentration with the help of ħ-curves.

Słowa kluczowe

EN

unsteady; mass transfer; porosity; series solution

• Czasopismo: Open Physics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 931-939

Daty

wydano

2010-12-01

online

2010-09-05

Twórcy

autor

Haider Zaman

• Department of Mathematics, Islamia College Chartered University 25120, Peshawar, 25000, Pakistan,

autor

Muhammad Ayub

• Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan

Bibliografia

• [1] B. C. Sakiadis, AIChE J. 7, 26 (1961) http://dx.doi.org/10.1002/aic.690070108[Crossref]
• [2] T. Hayat, Z. Abbas, M. Sajid, Phys. Lett. A. 372, 2400 (2008)
• [3] T. Hayat, R. Ellahi, F. M. Mahomed, Commun. Nonlinear Sci. 14, 133 (2009) http://dx.doi.org/10.1016/j.cnsns.2007.08.001[Crossref]
• [4] T. Hayat, R. Ellahi, F. M. Mahomed, Chaos Soliton. Fract. 38, 1336 (2008) http://dx.doi.org/10.1016/j.chaos.2008.03.006[Crossref]
• [5] T. Hayat, H. Mambili-Mamboundou, F. Mahomed, Nonlinear Anal.-Real 10, 368 (2009) http://dx.doi.org/10.1016/j.nonrwa.2007.09.005[Crossref]
• [6] T. Hayat, M. A. Farooq, T. Javed, M. Sajid, Nonlinear Anal.-Real 10, 745 (2009) http://dx.doi.org/10.1016/j.nonrwa.2007.11.001[Crossref]
• [7] T. Hayat, T. Javed, Z. Abbas, Nonlinear Anal.-Real 10, 1514 (2009) http://dx.doi.org/10.1016/j.nonrwa.2008.01.019[Crossref]
• [8] T. Hayat, Z. Iqbal, M. Sajid, K. Vajravelu, Int. Commun. Heat Mass 35, 1297 (2008) http://dx.doi.org/10.1016/j.icheatmasstransfer.2008.07.008[Crossref]
• [9] T. Hayat, Z. Abbas, T. Javed, J. Porous Media 12, 183 (2009) http://dx.doi.org/10.1615/JPorMedia.v12.i2.70[Crossref]
• [10] T. Hayat, M. Umar Qureshi, Q. Hussain, Appl. Math. Model. 33, 1862 (2009) http://dx.doi.org/10.1016/j.apm.2008.03.024[Crossref]
• [11] S. Asghar, M. Khan, T. Hayat, Int. J. Nonlin. Mech. 40, 589 (2005) http://dx.doi.org/10.1016/j.ijnonlinmec.2004.07.011[Crossref]
• [12] S. Asghar, T. Hayat, P. D. Ariel, Commun. Nonlinear Sci. 14, 154 (2009) http://dx.doi.org/10.1016/j.cnsns.2007.07.016[Crossref]
• [13] S. Asghar, R. Mohyuddin, T. Hayat, Int. J. Heat Mass Tran. 48, 599 (2005) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.08.023[Crossref]
• [14] A. Raptis, G. Perdikis, G. Tzivanidis, J. Phys. D. 14, 99 (1981) http://dx.doi.org/10.1088/0022-3727/14/7/001[Crossref]
• [15] A. Raptis, G. Tzivanidis, N. Kafousios, Lett. Heat Mass Trans. 8, 417 (1981) http://dx.doi.org/10.1016/0094-4548(81)90029-1[Crossref]
• [16] A. Raptis, N. Kafousios, C. Massalas, ZAMM-Z. Angew. Math. Me. 62, 489 (1982) http://dx.doi.org/10.1002/zamm.19820620911[Crossref]
• [17] A. Raptis, Int. J. Eng. Sci. 21, 345 (1983) http://dx.doi.org/10.1016/0020-7225(83)90118-0[Crossref]
• [18] R. C. Bataller, Comput. Math. Appl. 53, 305 (2007) http://dx.doi.org/10.1016/j.camwa.2006.02.041[Crossref]
• [19] R. Cortell, Int. J. Nonlin. Mech. 41, 78 (2006) http://dx.doi.org/10.1016/j.ijnonlinmec.2005.04.008[Crossref]
• [20] R. Cortell, Chem. Eng. Process. 46, 721 (2007) http://dx.doi.org/10.1016/j.cep.2006.09.008[Crossref]
• [21] P. D. Ariel, T. Hayat, S. Asghar, Acta Mech. 187, 29 (2006) http://dx.doi.org/10.1007/s00707-006-0370-3[Crossref]
• [22] P. D. Ariel, T. Hayat, S. Asghar, Int. J. Nonlin. Sci. Num. 7, 399 (2006)
• [23] M. Khan, Z. Abbas, T. Hayat, Transport Porous Med. 71, 23 (2008) http://dx.doi.org/10.1007/s11242-007-9109-4[Crossref]
• [24] M. Khan, S. Hyder Ali, T. Hayat, C. Fetecau, Int. J. Nonlin. Mech. 43, 302 (2008) http://dx.doi.org/10.1016/j.ijnonlinmec.2007.12.016[Crossref]
• [25] M. Khan, S. Asghar, T. Hayat, Nonlinear Anal.-Real 10, 974 (2009) http://dx.doi.org/10.1016/j.nonrwa.2007.11.016[Crossref]
• [26] S. S. Das, S. K. Sahoo, G. C. Dash, B. Malays. Math. Sci. So. 29, 33 (2006)
• [27] S. J. Liao, Commun. Nonlinear Sci. 14, 983 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.04.013[Crossref]
• [28] S. J. Liao, Jian Su, Allen T. Chwang, Int. J. Heat Mass Tran. 49, 2437 (2006) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.01.030[Crossref]
• [29] S. J. Liao, Commun. Nonlinear Sci. 11, 326 (2006) http://dx.doi.org/10.1016/j.cnsns.2004.09.004[Crossref]
• [30] S. J. Liao, Appl. Math. Comput. 147, 499 (2004) http://dx.doi.org/10.1016/S0096-3003(02)00790-7[Crossref]
• [31] S. J. Liao, Int. J. Nonlin. Mech. 38, 1173 (2003) http://dx.doi.org/10.1016/S0020-7462(02)00062-8[Crossref]
• [32] S. J. Liao, A. Campo, J. Fluid Mech. 453, 411 (2002) http://dx.doi.org/10.1017/S0022112001007169[Crossref]
• [33] S. J. Liao, Int. J. Nonlin. Mech. 7, 1 (2002) http://dx.doi.org/10.1016/S0020-7462(00)00092-5[Crossref]
• [34] S. J. Liao, Int. J. Nonlin. Mech. 34, 759 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00056-0[Crossref]
• [35] S. J. Liao, PhD thesis, Shanghai Jiao Tong University (Shanghai, China, 1992)
• [36] S. Abbasbandy, T. Hayat, R. Ellahi, S. Asghar, Z. Naturforsch. Pt. A 64, 59 (2009)
• [37] S. Abbasbandy, F. S. Zakaria, Nonlinear Dynam. 51, 83 (2008) http://dx.doi.org/10.1007/s11071-006-9193-y[Crossref]
• [38] S. Abbasbandy, Chem. Eng. J. 136, 144 (2008) http://dx.doi.org/10.1016/j.cej.2007.03.022[Crossref]
• [39] S. Abbasbandy, Phys. Lett. A. 361, 478 (2007) http://dx.doi.org/10.1016/j.physleta.2006.09.105[Crossref]
• [40] S. Abbasbandy, Int. Commun. Heat Mass 34, 380 (2007) http://dx.doi.org/10.1016/j.icheatmasstransfer.2006.12.001[Crossref]
• [41] S. Abbasbandy, Phys. Lett. A. 360, 109 (2006) http://dx.doi.org/10.1016/j.physleta.2006.07.065[Crossref]
• [42] M. Ayub, A. Rashid, T. Hayat, Int. J. Eng. Sci. 41, 2091 (2003) http://dx.doi.org/10.1016/S0020-7225(03)00207-6[Crossref]
• [43] M. Ayub, H. Zaman, M. Sajid, T. Hayat, Commun. Nonlinear Sci. 13 1822 (2008) http://dx.doi.org/10.1016/j.cnsns.2007.04.021[Crossref]
• [44] M. Ayub, H. Zaman, M. Ahmad, Cent. Eur. J. Phys. 8, 135 (2010) http://dx.doi.org/10.2478/s11534-009-0110-0[Crossref]

Identyfikatory

DOI

10.2478/s11534-010-0007-y