Stagnation flow on a cylinder with partial slip-an exact solution of the Navier-Stokes equations

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 72, Issue 3, 2007, Pages 271-277

  Wang, C Y ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Cylinder; Navier Stokes; Slip; Stagnation

Indexed keywords

ENERGY EQUATION; EXACT SOLUTION; INCOMPLETE GAMMA FUNCTIONS; MOVING CYLINDER; NAVIER STOKES; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; PARTIAL SLIP; SLIP FLOW; STAGNATION FLOWS;

CYLINDERS (SHAPES); HEAT EXCHANGERS; HEAT TRANSFER; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; REYNOLDS NUMBER; WAVELET TRANSFORMS;

NAVIER STOKES EQUATIONS;

EID: 67349094971     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxm009     Document Type: Article

References (13)

1. ABRAMOWITZ, M. & STEGUN, A. (eds) (1964) Handbook of Mathematical Functions. New York: Dover.
2. CHOI, C. H. & KIM, C. J. (2006) Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys. Rev. Lett., 96, 066001.
3. CUNNING, G. M., DAVIS, A. M. J. & WEIDMAN, P. D. (1998) Radial stagnation flow on a rotating circular cylinder with uniform transpiration. J. Eng. Math., 33, 113-128.
4. GORLA, R. S. R. (1976) Heat transfer in an axisymmetric stagnation flow on a cylinder. Appl. Sci. Res., 32, 541-553.
5. GORLA, R. S. R. (1978) Nonsimilar axisymmetric stagnation flow on a moving cylinder. Int. J. Eng. Sci., 16, 397-400.
6. KARNIADAKIS, G. E. & BESKOK, A. (2000) Micro Flows. New York: Springer.
7. PAULLET, J. E. & WEIDMAN, P. D. (2000) Analytical results for a BVP describing radial stagnation flow with transpiration. J. Math. Anal. Appl., 247, 246-254.
8. SCHMATKO, T., HERVET, H. & LEGER, L. (2005) Friction and slip at simple fluid-solid interfaces: the roles of the molecular shape and the solid-liquid interaction. Phys. Rev. Lett., 94, 244501.
9. SHARIPOV, F. & SELEZNEV, V. (1998) Data on internal rarefied gas flows. J. Phys. Chem. Ref. Data, 27, 657-706.
10. WANG, C. Y. (1974) Axisymmetric stagnation flow on a cylinder. Q. Appl. Math., 32, 207-213.
11. WANG, C. Y. (1991) Exact solutions of the Navier-Stokes equations. Ann. Rev. Fluid Mech., 23, 159-177.
12. WANG, C. Y. (2003) Flow over a surface with parallel grooves. Phys. Fluids, 15, 1114-1121.
13. WHITE, F. M. (2006) Viscous Fluid Flow, 3rd edn. Boston, MA: McGraw-Hill.