Abstract
We have conducted a study on time independent MHD slip flow of UCM fluid across an elongating surface with upper grade chemical species. The fluids are transported through pipes and the flow rate depends on the pipe size. We have transformed the governing PDE’s into ODE’s by using similarity transformations and are presenting results in the form of graphs and tables. It is important to consider the various constraints that may affect the flow field and mass transfer in the study. It may be useful to use numerical methods to solve the transformed ODE’s, such as the shooting phenomena, in order to accurately and efficiently simulate the flow and mass transport processes. Additionally, the results of earlier studies are compared with those of the current study.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sakiadis BC (1961) Boundary-layer behavior on continuous solid surfaces. AIChEJ 7(1):26–28
Erickson LE, Fan LT, Fox VG (1966) Heat and mass transfer on a moving continuous at plate with suction or injection. Ind Eng Chem Fundam 5(1):19–25
Pavlov KB (1974) Magneto hydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika (U.S.S.R) 10(4):146–148
Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching Sheet with suction or blowing. Can J Chem Eng 55(6):744–746
Chakrabarti A, Gupta AS (1979) Hydro magnetic flow and heat transfer over a stretching sheet. Q Appl Math 37(1):73–78
Andersson HI, Hansen OR, Holmedal B (1994) Diffusion of a chemically reactive species from a stretching sheet. Int J Heat Mass Transfer 37(4):659–664
Takhar HS, Chamkha AJ, Nath G (2000) Flow and mass transfer on a stretching sheet with magnetic field and chemical reactive species. Int J Eng Sci 38(12):1303–1314
Fetecau C, Fetecau C (2003) The Rayleigh Stokes-problem for a fluid of Maxwellian type. Int J Non-Linear Mech 38(4):603–607
Fetecau C, Fetecau C (2003) An exact solution for the flow of a Maxwell fluid past an infinite plate. Int J Non-Linear Mech 38(3):423–427
Sadeghy K, Sharifi M (2004) Local similarity solution for the flow of a ‘second-grade’ viscoelastic fluid above a moving plate. Int J Non-Linear Mech 39(8):1265–1273
Sadeghy K, Najafi A-H, Saffaripour M (2005) Sakiadis flow of an upper-convected Maxwell fluid. Int J Non-Linear Mech 40(9):1220–1228
Liu IC (2005) A note on heat and mass transfer for a hydro magnetic flow over a stretching sheet. Int Commun Heat Mass Transfer 32(8):1075–1084
Abbas Z, Sajid M, Hayat T (2006) MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel. Theor Comput Fluid Dyn 20(4):229–238
Sharidan S, Mahmood T, Pop I (2006) Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet. Int J Appl Mech Eng 11(3):647–654
Akyilidiz FT, Bellout H, Vajravelu K (2006) Diffusion of chemical reactive species in porous medium over a stretching sheet. J Math Anal Appl 320(1):322–339
Cortell R (2007) Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet. Chem Eng Process 46(10):982–989
Pahlavan AA, Aliakbar V, Farahani FV, Sadeghy K (2009) MHD flows of UCM fluids above porous stretching sheets using two-auxiliary-parameter homotopy analysis method. Commun Nonlinear Sci Numer Simul 14(2):473–488
Pahlavan AA, Sadeghy K (2009) On the use of homotopy analysis method for solving unsteady MHD flow of Maxwellian fluids above impulsively stretching sheets. Commun Nonlinear Sci Numer Simul 14(4):1355–1365
Hayat T, Awais M, Sajid M (2010) Similar solutions of stretching flow with mass transfer. Int J Numer Methods Fluids 64:908–921
Chamkha AJ, Aly AM, Mansour MA (2010) Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects. Chem Eng Commun 197(6):846–858
Prasad KV, Sujatha A, Vajravelu K, Pop I (2012) MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermo physical properties. Mecanica 47:1425–1439
Mukhopadhyay S, Golam AM, Wazed AM (2013) Effects of transpiration on unsteady MHD flow of an UCM fluid passing through a stretching surface in the presence of a first order chemical reaction. Chin Phys B 22(12):124701
Bhattacharyya K, Swathi M, Layek GC (2013) Unsteady MHD boundary layer flow with diffusion and first order chemical reaction over a permeable stretching sheet with suction or blowing. Chem Eng Commun 200(3):379–397
Palani S, Rushi Kumar B, Kameswaran PK (2016) Unsteady MHD flow of an UCM fluid over a stretching surface with higher order chemical reaction. Ain Shams Eng J 7(1):399–408
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kemparaju, M.C., Raveendra, N., Nandeppanavar, M.M., Lokanadham, M., Sreelatha, M. (2024). Effect of Partial Slip on Mass Transfer Flow of Non-Newtonian Fluid Due to Unsteady Stretching Sheet. In: Menon, N.V.C., Kolathayar, S., Rodrigues, H., Sreekeshava, K.S. (eds) Recent Advances in Civil Engineering for Sustainable Communities. IACESD 2023. Lecture Notes in Civil Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-97-0072-1_23
Download citation
DOI: https://doi.org/10.1007/978-981-97-0072-1_23
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-97-0071-4
Online ISBN: 978-981-97-0072-1
eBook Packages: EngineeringEngineering (R0)