Abstract
A study of compression waves produced in a viscous heat-conducting gas by the impulsive start of a one-dimensional piston and by the inpulsive change of piston wall temperature is made using Laplace Transform Technique for Prandt1 number unity. Expressions for velocity, temperature and density have also been obtained using small-time expansion procedure in this case. For arbitrary Prandt1 number solutions have been developed using large-time expansion procedure. A number of graphs exhibiting the distribution of the fluid velocity, temperature and density have been drawn.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bhatnagar, P. L. and Ramkumar “Propagation of small disturbances in viscous and electrically conducting liquids in the presence of magnetic fields,”Indian Journal of Mathematics, 1964,6 (1), 1–19.
Burgers, J. M... “A mathematical model illustrating the theory of turbulence,”Adv. App. Mech., Academic Press, N.Y., 1948,1, 171–201.
Hayes, W. D. .. “Gas dynamic discontinuities,”Princeton Aeronautical Paper backs, 1960.
Lighthill, M. J. ..Viscocity Effects in Sound Waves of Finite Amplitude Surveys in Mechanics (Eds. Batchelor and Davies),” Camb. Univ. Press, 1956.
Lagerstrom, P. A., Gole, J. D. and Trilliug, L. “Problems in theory of viscous compressible fluids,”Calif. Inst. Teeh. Galcit Rep., 1949.
Moran, J. P. and Shen, S. F. “On the formation of weak plane shock waves by impulsive motion of a piston,”J. Fluid Mech., 1966,25, pt. 4, 705–718.
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
Pandey, B.C. Effect of impulsive change of wall velocity and wall temperature in viscous heat-conducting gas. Proc. Indian Acad. Sci. 72, 121–133 (1970). https://doi.org/10.1007/BF03049842
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03049842