Analytic solutions of the temperature distribution in Blasius viscous flow problems

By Shijun Liao, Antonio Campo. Journal of Fluid Mechanics, 2002

277 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/cab2cfc551130d3b8f6891391aa25a5e91a6e8ea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Hang Xu
2. Abbas Saadatmandi
3. Mehdi Dehghan
4. Jalil Manafian
5. Shijun Liao
6. Muhammed I. Syam
7. Fathi M. Allan
8. Tasawar Hayat

In Fluid Flow and Transfer Processes

1. Hang Xu
2. Shijun Liao
3. Mehdi Dehghan
4. Abbas Saadatmandi
5. Jalil Manafian
6. Antonio Campo
7. Kwok Fai Cheung

In Modeling and Simulation

1. Mehdi Dehghan
2. Jalil Manafian
3. Abbas Saadatmandi
4. Hang Xu
5. Muhammed I. Syam
6. Fathi M. Allan
7. Shijun Liao
8. Saeid Abbasbandy

Citations in the corpus

• Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, methodology): “Hence we have [58–61] u(x, t) = u0(x, t)+ ∞ ∑ m=1 um(x, t), (3.”
• Homotopy Analysis Method in Nonlinear Differential Equations (2012, methodology): “In Chapter 2, we illustrate that the homotopy analysis method (HAM) (Liao, 1992, 1997, 1999a,b; Liao and Campo, 2002; Liao, 2003a,b, 2004, 2005, 2006, 2009, 2010a,b; Liao and Tan, 2007; Xu et al., 2010) provides us extremely large freedom to choose the auxiliary linear operator: the 2nd-order…”
• An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate (2006, methodology): “Currently, an analytical method for strongly nonlinear problems, namely the Homotopy Analysis Method [23], has been developed and successfully applied to many kinds of nonlinear problems in science and engineering [24–33].”
• On Convergence of q-Homotopy Analysis Method (2013, unknown): “In a series of papers[3-14], Liao developed and applied the homotopy analysis method(HAM) to deal with a lot of nonlinear problems.”
• Dual solutions of boundary layer flow over an upstream moving plate (2008, methodology): “The homotopy analysis method has been successfully applied to many nonlinear problems [16–25].”
• A new branch of solutions of boundary-layer flows over a permeable stretching plate (2007, methodology): “The HAM has been successfully applied to many non-linear problems, such as similarity boundary-layer flows [42–45], non-linear heat transfer [39], non-linear oscillations [32,33], non-linear waves [40], Thomas–Fermi atom model [32], Volterra’s population model [32], high-dimensional Gelfand equation”