On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid

Md Kamran Hussain Chowdhury; Sujit Kumar Sen; Anjan Kumar Chowdhury; Mohammad Jalal Ahammad

doi:doi:10.11648/j.eas.20240902.11

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On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid

Md Kamran Hussain Chowdhury, Sujit Kumar Sen, Anjan Kumar Chowdhury, Mohammad Jalal Ahammad^*

Published in Engineering and Applied Sciences (Volume 9, Issue 2)

Received: 14 January 2024 Accepted: 18 March 2024 Published: 2 April 2024

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Abstract

The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.

Published in	Engineering and Applied Sciences (Volume 9, Issue 2)
DOI	10.11648/j.eas.20240902.11
Page(s)	34-42
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

Uniform Stream, Strokes’ Flow, Incompressible Viscous Fluid, Gegenbaur Function, Legendre Polynomials

References

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APA Style

Chowdhury, M. K. H., Sen, S. K., Chowdhury, A. K., Ahammad, M. J. (2024). On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Engineering and Applied Sciences, 9(2), 34-42. https://doi.org/10.11648/j.eas.20240902.11

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ACS Style

Chowdhury, M. K. H.; Sen, S. K.; Chowdhury, A. K.; Ahammad, M. J. On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Eng. Appl. Sci. 2024, 9(2), 34-42. doi: 10.11648/j.eas.20240902.11

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AMA Style

Chowdhury MKH, Sen SK, Chowdhury AK, Ahammad MJ. On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Eng Appl Sci. 2024;9(2):34-42. doi: 10.11648/j.eas.20240902.11

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@article{10.11648/j.eas.20240902.11,
  author = {Md Kamran Hussain Chowdhury and Sujit Kumar Sen and Anjan Kumar Chowdhury and Mohammad Jalal Ahammad},
  title = {On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid
},
  journal = {Engineering and Applied Sciences},
  volume = {9},
  number = {2},
  pages = {34-42},
  doi = {10.11648/j.eas.20240902.11},
  url = {https://doi.org/10.11648/j.eas.20240902.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20240902.11},
  abstract = {The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.
},
 year = {2024}
}

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TY  - JOUR
T1  - On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid

AU  - Md Kamran Hussain Chowdhury
AU  - Sujit Kumar Sen
AU  - Anjan Kumar Chowdhury
AU  - Mohammad Jalal Ahammad
Y1  - 2024/04/02
PY  - 2024
N1  - https://doi.org/10.11648/j.eas.20240902.11
DO  - 10.11648/j.eas.20240902.11
T2  - Engineering and Applied Sciences
JF  - Engineering and Applied Sciences
JO  - Engineering and Applied Sciences
SP  - 34
EP  - 42
PB  - Science Publishing Group
SN  - 2575-1468
UR  - https://doi.org/10.11648/j.eas.20240902.11
AB  - The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.

VL  - 9
IS  - 2
ER  -

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Author Information

Md Kamran Hussain Chowdhury

Department of Mathematics, Directorate of Secondary and Higher Education, Dhaka, Bangladesh

Contact Email
Sujit Kumar Sen

Jamal Nazrul Islam Research Centre for Mathematical and Physical Sciences, University of Chittagong, Chattogram, Bangladesh
Anjan Kumar Chowdhury

Jamal Nazrul Islam Research Centre for Mathematical and Physical Sciences, University of Chittagong, Chattogram, Bangladesh

Contact Email
Mohammad Jalal Ahammad

Department of Mathematics, University of Chittagong, Chattogram, Bangladesh

Contact Email

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Plain Text BibTeX RIS

APA Style

Chowdhury, M. K. H., Sen, S. K., Chowdhury, A. K., Ahammad, M. J. (2024). On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Engineering and Applied Sciences, 9(2), 34-42. https://doi.org/10.11648/j.eas.20240902.11

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ACS Style

Chowdhury, M. K. H.; Sen, S. K.; Chowdhury, A. K.; Ahammad, M. J. On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Eng. Appl. Sci. 2024, 9(2), 34-42. doi: 10.11648/j.eas.20240902.11

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AMA Style

Chowdhury MKH, Sen SK, Chowdhury AK, Ahammad MJ. On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid . Eng Appl Sci. 2024;9(2):34-42. doi: 10.11648/j.eas.20240902.11

Copy | Download

@article{10.11648/j.eas.20240902.11,
  author = {Md Kamran Hussain Chowdhury and Sujit Kumar Sen and Anjan Kumar Chowdhury and Mohammad Jalal Ahammad},
  title = {On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid
},
  journal = {Engineering and Applied Sciences},
  volume = {9},
  number = {2},
  pages = {34-42},
  doi = {10.11648/j.eas.20240902.11},
  url = {https://doi.org/10.11648/j.eas.20240902.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20240902.11},
  abstract = {The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.
},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid

AU  - Md Kamran Hussain Chowdhury
AU  - Sujit Kumar Sen
AU  - Anjan Kumar Chowdhury
AU  - Mohammad Jalal Ahammad
Y1  - 2024/04/02
PY  - 2024
N1  - https://doi.org/10.11648/j.eas.20240902.11
DO  - 10.11648/j.eas.20240902.11
T2  - Engineering and Applied Sciences
JF  - Engineering and Applied Sciences
JO  - Engineering and Applied Sciences
SP  - 34
EP  - 42
PB  - Science Publishing Group
SN  - 2575-1468
UR  - https://doi.org/10.11648/j.eas.20240902.11
AB  - The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.

VL  - 9
IS  - 2
ER  -

Copy | Download