Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

By Masood Khan, Hashim. 2015

165 citations recorded by the source corpus.

This article studies the Carreau viscosity model (which is a generalized Newtonian model) and then use it to obtain a formulation for the boundary layer equations of the Carreau fluid. The boundary layer flow and heat transfer to a Carreau model over a nonlinear stretching surface is discussed. The Carreau model, adequate for many non-Newtonian fluids, is used to characterize the behavior of the fluids having shear thinning properties and fluids with shear thickening properties for numerical values of the power law exponent n. The modeled boundary layer conservation equations are converted to non-linear coupled ordinary differential equations by a suitable transformation. Numerical solution of the resulting equations are obtained by using the Runge-Kutta Fehlberg method along with shooting technique. This analysis reveals many important physical aspects of flow and heat transfer. Computations are performed for different values of the stretching parameter (m), the Weissenberg number (We) and the Prandtl number (Pr). The obtained results show that for shear thinning fluid the fluid velocity is depressed by the Weissenberg number while opposite behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed and they are in excellent agreement.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/c64ca5a0cfd9628f248c99cc3bf8c865093d82cb

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In Biomedical Engineering

1. Masood Khan
2. M. Azam
3. Shijun Liao
4. Tasawar Hayat
5. Muhammad Sajid
6. Saeid Abbasbandy

In Computational Mechanics

1. Masood Khan
2. M. Azam
3. Shijun Liao
4. Tasawar Hayat
5. Muhammad Sajid
6. Saeid Abbasbandy

In Mechanical Engineering

1. Masood Khan
2. M. Azam

Citations in the corpus

• Unsteady heat and mass transfer mechanisms in MHD Carreau nanofluid flow (2017, background): “J. Eng. Sci., 44 (2006) 1225 1236: [73] F.M. White, Viscous Fluid Flow, McGraw-Hill, New York, USA, 1991: [74] Hashim, M. Khan and A.S. Alshomrani, Characteristics of melting heat transfer during ow of Carreau uid induced by a stretching cylinder, Eur.”