Abstract
The current study focused on forced convection water boundary layer flow on permeable diverging channel for variable physical properties of fluid. The formation of coupled nonlinear partial differential equations is expressed in terms of non-dimensional quantity using similarity transformation. The solution of non-dimensional differential equation obtained by numerical finite difference scheme with combination of quasi-linearization technique. It is found that the Eckert number is significant in the boundary layer region in laminar flow, and also, the effects of physical parameters are investigated numerically and shown graphically.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- f :
-
dimensionless streamfunction
- T :
-
temperature
- N :
-
viscosity ratio
- g :
-
acceleration due to gravity
- \(u_{e}\) :
-
flow velocity at the edge
- Nu :
-
Nusselt number
- \(C_{p}\) :
-
-specific heat at constant pressure
- \(\nu \) :
-
-kinematic viscosity
- \(\rho \) :
-
density
- x, y:
-
Cartesian coordinates
- \(\psi \) :
-
Streamfunction
- A :
-
Mass transfer parameter
- Ec :
-
Viscous dissipation parameter
- \(\mu \) :
-
dynamic viscosity
- Pr :
-
-Prandtl number
- Re :
-
Reynolds number
- \(C_{f}\) :
-
Skin friction coefficient
- \(U_{\infty }\) :
-
freestream velocity
- U :
-
reference velocity
- u :
-
-velocity in x-direction
- v :
-
-velocity in y-direction
References
Tadmor Z, Klein I (1970) Engineering principles of plasticating extrusion. Polymer science and engineering series. Van Nostrand Reinhold, New York
Altan T, Oh S, Gegel H (1979) Metal forming fundamentals and applications. American Society of Metals, Metals Park
Fisher EG (1976) Extrusion of plastics. Wiley, New York
Ishak A, Nazar R, Pop I (2009) Flow and heat transfer characteristics in a moving flat plate in parallel stream with constant surface heat flux. Heat Mass Transf 45:563–567
Ishak A, Nazar R, Pop I (2009) The effects of transpiration on the flow and heat transfer over a moving permeable surface in a parallel stream. Chem Eng J 148:63–67
Umavathi JC, Chamkha AJ, Mohiuddin S (2016) Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel. Int J Numer Methods Heat Fluid Flow 26:18–39
Roy S, Saikrishnan P, Pandey BD (2009) Influence of double slot suction (injection) into water boundary layer flows over sphere. Int Commun Heat Mass Transf 36:646–650
Patil PM, Roy S, Chamkha AJ (2010) Mixed convection flow over a vertical power law stretching sheet. Int J Numer Method Heat Fluid Flow 4:445–458
Saikrishnan P, Roy S, Takhar HS, Ravindran R (2010) Role of thermally stratified medium on a free convection flow from a rotating sphere. Int J Numer Methods Heat Fluid Flow 20:96–110
Schlichting H (2000) Boundary layer theory. McGraw Hill, New York
Lide DR (ed) (1990) CRC handbook of chemistry and physics, 71st edn. CRC Press, Boca Raton
Varga RS (2000) Matrix iterative analysis. Prentice-Hall, Englewood Cliffs
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Singh, A.K., Iyyappan, G., Jaganathan, B. (2021). Effect of Viscous Dissipation of Laminar Flow over a Flat Plate with Variable Properties. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_48
Download citation
DOI: https://doi.org/10.1007/978-981-15-4308-1_48
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-4307-4
Online ISBN: 978-981-15-4308-1
eBook Packages: EngineeringEngineering (R0)