Abstract.
The aim of present communication is to investigate the thermal radiation effect on the peristaltic motion of dusty fluid in a channel. The channel walls satisfy the wall properties. Incompressible fluid is electrically conducting. Simultaneous effects of heat and mass transfer are discussed. Joule heating effects are retained. Resulting problems of fluid and dust particles are solved for small wave number. Expressions of stream function, temperature, concentration and heat transfer coefficients are constructed. Contributions of the sundry variables on the physical quantities of interest are examined.
Similar content being viewed by others
References
T.W. Latham, Fluid Motion in a Peristaltic Pump, MS dissertation, MIT, Cambridge (1966)
M.Y. Jaffrin, A.H. Shapiro, Annu. Rev. Fluid Mech. 3, 13 (1971)
Kh.S. Mekheimer, Y. Abd Elmaboud, A.I. Abdellateef, Appl. Bion. Biomech. 10, 19 (2013)
Kh.S. Mekheimer, Appl. Math. Model. 35, 2695 (2011)
D. Tripathi, Acta Astronaut. 69, 429 (2011)
T. Hayat, S. Noreen, N. Ali, S. Abbasbanday, Numer. Methods Partial Differ. Equ. 28, 737 (2012)
S. Hina, T. Hayat, S. Asghar, Nonlinear Anal. Model. Control 17, 297 (2012)
S. Hina, M. Mustafa, T. Hayat, F.E. Alsaadi, Appl. Math. Mech. 35, 73 (2014)
R. Ellahi, A. Riaz, S. Nadeem, Appl. Nanosci. 4, 753 (2014)
K. Vajravelu, S. Sreenadh, P. Lakshminarayana, Commun. Nonlinear Sci. Numer. Simulat. 16, 3107 (2011)
T. Hayat, S. Hina, S. Asghar, A.A. Hendi, Int. J. Heat Mass Transfer 55, 3386 (2012)
T. Hayat, M. Javed, S. Asghar, A.A. Hendi, Int. J. Numer. Methods Fluids 71, 65 (2013)
T. Hayat, H. Yasmin, S. Asghar, A.A. Hendi, Appl. Bion. Biomech. 10, 41 (2013)
Kh.S. Mekheimer, M.H. Haroun, M.A. El Kot, Appl. Math. Inf. Sci. 6, 281 (2012)
D. Tripathi, S.K. Pandey, O.A. Bég, Int. J. Therm. Sci. 70, 41 (2013)
A.A. Shaaban, M.Y. Abou-Zeid, Math. Prob. Eng. 2013, 819683 ()
S. Srinivas, R. Muthuraj, Math. Comput. Model. 54, 1213 (2011)
S. Mahmoud, N. Afifi, H. AL-Isede, Int. J. Math. Anal. 21, 1025 (2011)
N.T. Eldabe, S.M. Elshaboury, A.A. Hasan, M.A. Elogail, Innov. Syst. Des. Eng. 3, 51 (2012)
Kh.S. Mekheimer, A.M. Salem, A.Z. Zaher, J. Egypt. Math. Soc. 22, 143 (2014)
T. Hayat, A. Alsaedi, Arab. J. Sci. Eng. 36, 1113 (2011)
T. Hayat, F.M. Abbasi, S. Obaidat, Magnetohydrodynamics 47, 295 (2011)
N.T. Eldabe, A.S. Zaghrout, H.M. Shawky, A.S. Awad, Afric. J. Math. Comput. Sci. Res. 6, 121 (2013)
D. Srinivasacharya, G. Radhakrishnamacharya, C. Srinivasulu, Turkish J. Eng. Environ. Sci. 32, 357 (2008)
V.P. Rathod, P. Kulkarni, Adv. Appl. Sci. Res. 2, 265 (2011)
N.T. Eldabe, K.A. Kamel, G.M. Abd-Allah, S.F. Ramadan, Int. J. Res. Rev. Appl. Sci. 15, 3 (2013)
S. Hina, T. Hayat, A. Alsaedi, Int. J. Heat Mass Transfer 55, 3511 (2012)
T. Hayat, S. Hina, A.A. Hendi, S. Asghar, Int. J. Heat Mass Transfer 54, 5126 (2011)
M. Mustafa, S. Hina, T. Hayat, A. Alsaedi, Int. J. Heat Mass Transfer 55, 4871 (2012)
T.K. Mittra, S.N. Prasad, J. Biomech. 6, 681 (1973)
S. Sreenadh, C.U. Shankar, A.R. Pallavi, Int. J. Appl. Math. Mech. 7, 93 (2012)
G. Nagachandrakala, A. Leelarathnam, S. Sreenadh, Int. J. Eng. Sci. Technol. 5, 951 (2013)
M.A. Kumar, S. Sreenadh, A.N.S. Srinivas, Adv. Appl. Sci. Res. 6, 156 (2013)
T. Hayat, S. Hina, A.A. Hendi, Heat Transfer Asian Res. 1, 63 (2012)
T. Hayat, S. Hina, Int. J. Numer. Methods Fluids 67, 1590 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hayat, T., Rafiq, M., Alsaedi, A. et al. Radiative and Joule heating effects on peristaltic transport of dusty fluid in a channel with wall properties. Eur. Phys. J. Plus 129, 225 (2014). https://doi.org/10.1140/epjp/i2014-14225-9
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2014-14225-9