Abstract
Following the method due to Bhatnagar (P. L.) [Jour. Ind. Inst. Sic., 1968, 1, 50, 1], we have discussed in this paper the problem of suction and injection and that of heat transfer for a viscous, incompressible fluid through a porous pipe of uniform circular cross-section, the wall of the pipe being maintained at constant temperature. The method utilises some important properties of differential equations and some transformations that enable the solution of the two-point boundary value and eigenvalue problems without using trial and error method. In fact, each integration provides us with a solution for a suction parameter and a Reynolds number without imposing the conditions of smallness on them. Investigations on non-Newtonian fluids and on other bounding geometries will be published elsewhere.
Similar content being viewed by others
References
Bhatnagar, P. L...Jour. Ind. Inst. Sci., 1968,1, 50.
Tikekar, V. G. .. Under print inJour. Ind. Inst. Sci.
Verma, P. D. and Bansal, J. L.Proc. Ind. Acad. Sci., 1966,64 A, 385.
Bansal, J. L...Proc. Nat. Inst. Sci., 1966,32 A, 368.
Pai, S. I. ..Viscous Flow Theory. I.Laminar Flow, 1956, p. 57.
Author information
Authors and Affiliations
Additional information
Communicated by Prof. P. L. Bhatnagar,f.a.sc.
Rights and permissions
About this article
Cite this article
Tikekar, V.G. Steady laminar flow with suction or injection and heat transfer through porous pipe. Proc. Indian Acad. Sci. 71, 56–68 (1970). https://doi.org/10.1007/BF03051406
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03051406