Publication Cover
Applicable Analysis
An International Journal
Volume 73, 1999 - Issue 3-4
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Original Articles

On the uniqueness of laminar channel flow with injection

Pages 497-505 | Received 01 Apr 1999, Published online: 20 Jan 2011

References

  • Berman , A.S. 1953 . Laminar flow in channels with porous walls . J. Appl. Phys., , 24 : 1232 – 1235 .
  • Cox , S.M. 1991 . Two-dimensional flow of a viscous fluid in a channel with porous walls . J. Fluid Mech , : 1 – 33 .
  • Private communication 1996
  • Lu , C. 1994 . On the existence of multiple solutions of a boundarq value problem arising from laminar flow through a porous . canadian Appl. Math. Quart , 2 ( 3 ) : 361 – 393 .
  • Hastings , S.P. , Lu , C. and Mac Gillivray , A.D. 1992 . A boundary value problem with multiple solutions from the theory of laminar flow . SIAM J. Math. Anal , 23 ( 1 ) : 201 – 208 .
  • McLeod , J. B. 1991 . “ Laminar flow in a porous channel ” . In In asmptotic Beyond All Orders , Edited by: Segur , H. New York : Plenum Press . No. 284 NATO ASI Series
  • Robinson , W.A. 1876 . The existance of multiple solutions for laminar flow in a uniformly porous channel with suction at both walls . J . Engr. Math. , 10 : 23 – 40 .
  • Skalak , F. M. and Wang , C.Y. 1978 . On the nonunique solutions of 1aminar flow through a porous tube or channel . SIAM J . Appl. Math , 34 : 353 – 544 .
  • Shin , K.G. 1987 . On the existence of solutions of an equation arising in the theory of laminar flow in a uniformly porous channel . SIAM .J. Appl. Math , 47 ( 3 )
  • Terril , R.M. 1964 . Laminar flow in a uniformly porous channe1 . Aeroniautical Quart , 15 : 299 – 310 .
  • Wang , C.A. and Hwang , T.-W . 1991 . On multiple solutions of Berman equation . Proc. Roy, Soc , 121A : 219 – 230 .
  • Zaturkska , M. B. , Drazin , P.G. and Banks , W.H.H. 1988 . On the flow of viscous fludid driven along a channel by suction at porous walls . Fluid Dyn. Res , 4 : 151 – 178 .
  • Watson , E.B.B. , Banks , W.H.H. , Zaturska , M.B. and Drazin , P.G. 1990 . On transition to chaos in two-dimensional flow synanzetricnlly driven by accelerating walls . J. Fluid Mech , 212 : 451 – 485 .
  • Yuan , S.W. and Finkelstein , A.B. 1956 . Laminar pipe flow with injection and suction through a Porous wall . Trans. ASME Ser. E. J. Appl. Mech , 78 : 719 – 724 .

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