Summary
In this paper the effect of injection and elasticity of the liquid on the flow pattern of a second order fluid in the inlet region of a porous channel has been studied. The pressure gradient has been calculated by an energy integral applied over the entire flow field (including the inviscid flow region) rather than by simply applying Euler's equation of inviscid motion to the flow outside the boundary layer. The effects of suction and non-Newtonian parameter on the growth of boundary layer thickness in the inlet region, core velocity and pressure distribution in the inlet region have been studied.
Zusammenfassung
In der vorliegenden Arbeit wird der Einfluß des Einblasens und der Elastizität des Mediums auf die Strömung eines Fluids zweiter Ordnung in der Anlaufstrecke eines porösen Kanals untersucht. Der Druckgradient wurde mit einer Energie-Integralmethode im ganzen Stromfeld ermittelt und nicht mit den Eulerschen Gleichungen in der reibungsfreien Kernströmung außerhald der Grenzschicht. Als Ergebnisse wurden folgende Größen ermittelt: der Einfluß der Absaugung sowie des nicht newtonschen Parameters auf das Anwachsen der Grenzschichtdicke, Kerngeschwindigkeit sowie Druckverteilung im Kanaleimlauf.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bogue, D. C.: Entrance Effects and prediction of Turbulence in non-Newtonian Flow. Industrial and Engineering Chemistry51, 874–878 (1959).
Bhatnagar, P. L., Lakshmana Rao, S. K.: Steady Motion of Non-Newtonian Fluids in Tubes. Proc. Third Congress on Indian Society of Theoretical and Applied Mechanics (1957, pp. 225–234)
Yan, J., Tien Chi: Simultaneous Development of Velocity and Temperature profiles for laminar flow of a Non-Newtonian Fluid in the Entrance Region of flat ducts. Canadian J. Chen. Engg.41, 139–145 (1963).
Kapur, J. N., Gupta, R. C.: Two-dimensional flow of Power Law fluids in the inlet length of a Straight Channel. ZAMM43, 135–141 (1963).
Kapur, J. N., Gupta, R. C.: Flow of Reiner-Rivlin Fluids in the Inlet Region of a channel. J. Phys. Soc. Japan.19, 386–392 (1964).
Collin, Morton, Schowalter, W. R.: Behaviour of non-Newtonian fluids in the inlet region of a channel. A. I. Ch. E. Journal9, 98–102 (1963).
Mishra, S. P.: Inlet length by laminar flow of elasticoviscous liquids through straight channel and circular tube. Proc. Ind. Acad. SciencesLXIV, 237–244 (1966).
Mishra, S. P.: A Note on Second order fluids. J. Sci. Engg. Research8, 272–276 (1964).
Breland, H. M.: M. S. Thesis on “The effect of wall injection on the entrance length of channel flow”. (Submitted to Texas University, 1961.)
Horton, T. E., Yuan, S. W.: Laminar flow in the entrance region of a porous-wall channel. Appl. Sci. Res.14A, 233–249 (1965).
Hornbeck, R. W.: Ph. D. thesis on “The entry problem in pipes with porous walls”. (Submitted to Carnegie Inst. Tech., Pittsburgh, 1961.)
Gupta, R. C.: Effect of injection on the flow in the inlet region of a channel. Appl. Sci. Res.26, 68–74 (1972).
Coleman, B. D., Noll, W.: An approximation theorem for functionals with application in continuum mechanics. Arch. Rational Mech. Anal.6, 355–370 (1960).
Mishra, S. P.: Free convection flow of a Second order fluid past a hot vertical plate. Proc. Ind. Acad. SciencesLXIV, 291–303 (1966).
Author information
Authors and Affiliations
Additional information
With 3 Figures
Rights and permissions
About this article
Cite this article
Mishra, S.P., Panda, T.C. Effect of injection on the flow of second order fluid in the inlet region of a channel. Acta Mechanica 32, 11–17 (1979). https://doi.org/10.1007/BF01176130
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01176130