Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity

Mamun Miah; Abul Kalam Azad; Masidur Rahman

doi:doi:10.11648/j.acm.20160501.14

| Peer-Reviewed |

Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity

Mamun Miah, Abul Kalam Azad, Masidur Rahman

Received: 11 January 2016 Accepted: 18 January 2016 Published: 17 February 2016

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

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.

DOI	10.11648/j.acm.20160501.14
Published in	Applied and Computational Mathematics (Volume 5, Issue 1, February 2016)
Page(s)	23-29
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Shear Stress, Homann Flow, Convergent Flow, Boundary Layer Flow

References

[1]	Schmidt K., 1970. A nonlinear boundary value problem, J. Differential Equations 7, 527-537.
[2]	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.
[3]	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.
[4]	Shin J. Y., 1997. A Singular nonlinear differential equation arising in the Homann flow, J. Math. Anal. Appl. 212, 443-451.
[5]	Schlichting H., and K. Gersten, 1999. Boundary Layer Theory, Springer, 113, 114.
[6]	Shanti Swarup, 2000. Fluids Dynamics, Krishna Prakashan Media(P) Ltd. Merut, 622.632.633.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	Molla M. R., 2012. A singular non-linear boundary value problem arising in a convergent channel, Bangladesh Journal of Physics, 12, 15-26.
[13]	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.
[14]	Molla M. R., 2013. An analytic treatment of the Falkner-Skan boundary layer equation. Journal of Science, University of Dhaka, 61(1), 139-144.
[15]	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.

Cite This Article

Plain Text BibTeX RIS

APA Style

Mamun Miah, Abul Kalam Azad, Masidur Rahman. (2016). Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Applied and Computational Mathematics, 5(1), 23-29. https://doi.org/10.11648/j.acm.20160501.14

Copy | Download

ACS Style

Mamun Miah; Abul Kalam Azad; Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl. Comput. Math. 2016, 5(1), 23-29. doi: 10.11648/j.acm.20160501.14

Copy | Download

AMA Style

Mamun Miah, Abul Kalam Azad, Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl Comput Math. 2016;5(1):23-29. doi: 10.11648/j.acm.20160501.14

Copy | Download

@article{10.11648/j.acm.20160501.14,
  author = {Mamun Miah and Abul Kalam Azad and Masidur Rahman},
  title = {Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity},
  journal = {Applied and Computational Mathematics},
  volume = {5},
  number = {1},
  pages = {23-29},
  doi = {10.11648/j.acm.20160501.14},
  url = {https://doi.org/10.11648/j.acm.20160501.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.14},
  abstract = {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.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity
AU  - Mamun Miah
AU  - Abul Kalam Azad
AU  - Masidur Rahman
Y1  - 2016/02/17
PY  - 2016
N1  - https://doi.org/10.11648/j.acm.20160501.14
DO  - 10.11648/j.acm.20160501.14
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 23
EP  - 29
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20160501.14
AB  - 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.
VL  - 5
IS  - 1
ER  -

Copy | Download

Author Information

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

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Mamun Miah, Abul Kalam Azad, Masidur Rahman. (2016). Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Applied and Computational Mathematics, 5(1), 23-29. https://doi.org/10.11648/j.acm.20160501.14

Copy | Download

ACS Style

Mamun Miah; Abul Kalam Azad; Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl. Comput. Math. 2016, 5(1), 23-29. doi: 10.11648/j.acm.20160501.14

Copy | Download

AMA Style

Mamun Miah, Abul Kalam Azad, Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl Comput Math. 2016;5(1):23-29. doi: 10.11648/j.acm.20160501.14

Copy | Download

@article{10.11648/j.acm.20160501.14,
  author = {Mamun Miah and Abul Kalam Azad and Masidur Rahman},
  title = {Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity},
  journal = {Applied and Computational Mathematics},
  volume = {5},
  number = {1},
  pages = {23-29},
  doi = {10.11648/j.acm.20160501.14},
  url = {https://doi.org/10.11648/j.acm.20160501.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.14},
  abstract = {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.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity
AU  - Mamun Miah
AU  - Abul Kalam Azad
AU  - Masidur Rahman
Y1  - 2016/02/17
PY  - 2016
N1  - https://doi.org/10.11648/j.acm.20160501.14
DO  - 10.11648/j.acm.20160501.14
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 23
EP  - 29
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20160501.14
AB  - 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.
VL  - 5
IS  - 1
ER  -

Copy | Download