An analytic approximation of the drag coefficient for the viscous flow past a sphere

By Shijun Liao. 2002

138 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/b69a93624a8e9a6fa5ce1aa8f946e05a4c34225a

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. Shijun Liao
2. Hang Xu
3. I. Mudawar
4. Jaeseon Lee
5. Antonio Campo
6. Kwok Fai Cheung
7. Tasawar Hayat
8. Sung-Min Kim

In Fluid Flow and Transfer Processes

1. Shijun Liao
2. Hang Xu
3. Antonio Campo
4. Kwok Fai Cheung
5. I. Mudawar
6. Jaeseon Lee
7. Tasawar Hayat

In Ocean Engineering

1. Hang Xu
2. Antonio Campo
3. Kwok Fai Cheung
4. I. Mudawar
5. Jaeseon Lee

Citations in the corpus

• 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].”
• On the homotopy analysis method for nonlinear problems (2004, methodology): “Keywords: Homotopy analysis method; Analytic; Nonlinear; Similar boundary-layer; Stretching wall”
• On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet (2003, methodology): “In particular, by means of the homotopy analysis method, the author (Liao 2002) gave a drag formula for a sphere in a uniform stream, which agrees well with experimental results in a considerably larger region of Reynolds number than those of all reported analytic drag formulas.”
• Homotopy analysis of nonlinear progressive waves in deep water (2003, methodology): “The homotopy analysis method has been successfully applied to derive explicit analytic solutions for a number of classical nonlinear problems including Blasius’ viscous-flow problem [18], the Falkner-Skan viscous flow over a semi-infinite plane [19], and the drag of a sphere over a considerably larg”
• A new branch of solutions of boundary-layer flows over a permeable stretching plate (2007, methodology): “In this paper, a new branch of solutions is found for 1/2 < b < +1 by means of the homotopy analysis method [18–20], which has been successfully applied to solve many nonlinear problems [21–26,28,27].”
• Critical heat flux for subcooled flow boiling in micro-channel heat sinks (2009, background): “Under these conditions, the drag coefficient can be determined from [19]”
• Two-Phase Microchannel Heat Sinks: Theory, Applications, and Limitations (2011, unknown): “Bubble size can be determined by equating the liquid drag force on a bubble to the surface tension force that tends to preserve the bubble attachment to the wall [100].”
• Analytic solutions of the temperature distribution in Blasius viscous flow problems (2002, methodology): “…more than one unknown function, which reveals the possibility of employing the homotopy analysis method to attack some famous unsolved nonlinear problems in fluid mechanics, such as the steady-state viscous flow past a sphere (Liao 2002), the plane viscous flow past a circular cylinder and so on.”
• Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet (2010, unknown): “lems like the Blasius’ viscous flows were presented in [7–10].”