Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity
Applied and Computational Mathematics
Volume 5, Issue 1, February 2016, Pages: 23-29
Received: Jan. 11, 2016;
Accepted: Jan. 18, 2016;
Published: Feb. 17, 2016
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Mamun Miah, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Abul Kalam Azad, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Masidur Rahman, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
In this paper, we discussed the effect of shear stress for Homann and Convergent flows arising in the boundary layer theory with odd decimal numbers of tangential velocity. By this study we have to discuss positive solution, Homann flow, convergent flow, shear stress, tangential velocity etc. From beginning to end of the study, we have compared of stresses of different fluid flows arising in the boundary layer theory. The resulting figure is compared with the previous figure which was obtained by many authors.
Abul Kalam Azad,
Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity, Applied and Computational Mathematics.
Vol. 5, No. 1,
2016, pp. 23-29.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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Schmidt K., 1970. A nonlinear boundary value problem, J. Differential Equations 7, 527-537.
Soewono E., K. Vajravelu and R. N. Mohapatra, 1991. Existence and nonuniqueness of solutions of a singular nonlinear boundary-layer problem, J. Math. Anal. Appl. 159, 251-270.
Vajravelu K., E. Soewono and R. N. Mohapatra, 1991. On solutions of some singular, non-linear differential equations arising in boundary layer theory, J. Math. Anal. Appl. 155, 499-512.
Shin J. Y., 1997. A Singular nonlinear differential equation arising in the Homann flow, J. Math. Anal. Appl. 212, 443-451.
Schlichting H., and K. Gersten, 1999. Boundary Layer Theory, Springer, 113, 114.
Shanti Swarup, 2000. Fluids Dynamics, Krishna Prakashan Media(P) Ltd. Merut, 622.632.633.
Molla M. R. and S. Banu, 2003. Some singular nonlinear BVPS arising in the boundary layer flow. Ganit: Journal of Bangladesh Mathematical Soc., 23, 91-103.
Molla M. R., 2005. Existence and Uniqueness of positive solution of the suction of the fluid from the boundary layer, J. Math. and Math. Sci, JU, Savar, Bangladesh, 20, 31-40.
Molla M. R. and S. Banu, 2006. Existence and uniqueness of positive solution of a singular nonlinear BVP. Journal of Science, University of Dhaka, 54 (2), 191-195.
Molla M. R., 2008. A singular non-linear BVP arising in the boundary layer flow along a flat plate, Ganit: J. Bangladesh Math. Soc. 28, 59-67.
Molla M. R., M. K. Jaman and M. Hasan, 2011. Comparison of positive solutions for two boundary value problems arising in the boundary layer flow. Journal of Science, University of Dhaka, 59 (2), 167-172.
Molla M. R., 2012. A singular non-linear boundary value problem arising in a convergent channel, Bangladesh Journal of Physics, 12, 15-26.
Molla M. R. and M. Begum, 2012. Existence and Uniqueness of positive solution of the injection of the fluid into the boundary layer. Jahangirnagar J. of Math. and Math. Sciences, 27, 103-114.
Molla M. R., 2013. An analytic treatment of the Falkner-Skan boundary layer equation. Journal of Science, University of Dhaka, 61(1), 139-144.
Molla M. R., 2014. Comparison of Shear Stresses of Different Fluids Flows Arising in the Boundary Layer Theory. Dhaka Univ. J. Sci. 62(2): 115-118.