An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls

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ERDOGAN, M. Emin ;IMRAK, C. Erdem .
An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 55, n.12, p. 749-754, october 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/>. Date accessed: 09 dec. 2021. 
doi:http://dx.doi.org/.
Erdogan, M., & Imrak, C.
(2009).
An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls.
Strojniški vestnik - Journal of Mechanical Engineering, 55(12), 749-754.
doi:http://dx.doi.org/
@article{.,
	author = {M. Emin  Erdogan and C. Erdem  Imrak},
	title = {An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	keywords = {Naiver-Stokes equation; analytical solution; sine transform; steady flow; unsteady flow; },
	abstract = {An exact solution of the Naiver-Stokes equation for unsteady flow over a moving plate between two side walls is given. This solution solves the problem that arises calculating shear stress at the bottom wall when the expression of velocity presented in literature is used. The variation of the shear stress at the bottom wall with the distance between two side walls for various values of the non-dimensional time is illustrated and it is shown that when the value of non-dimensional time is equal to unity, the shear stress approaches the asymptotic value. Furthermore, the volume flux across a plane normal to the flow is calculated and it is found that when the value of the non-dimensional time is equal to unity, the volume flux approaches the asymptotic value.},
	issn = {0039-2480},	pages = {749-754},	doi = {},
	url = {https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/}
}
Erdogan, M.,Imrak, C.
2009 October 55. An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 55:12
%A Erdogan, M. Emin 
%A Imrak, C. Erdem 
%D 2009
%T An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls
%B 2009
%9 Naiver-Stokes equation; analytical solution; sine transform; steady flow; unsteady flow; 
%! An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls
%K Naiver-Stokes equation; analytical solution; sine transform; steady flow; unsteady flow; 
%X An exact solution of the Naiver-Stokes equation for unsteady flow over a moving plate between two side walls is given. This solution solves the problem that arises calculating shear stress at the bottom wall when the expression of velocity presented in literature is used. The variation of the shear stress at the bottom wall with the distance between two side walls for various values of the non-dimensional time is illustrated and it is shown that when the value of non-dimensional time is equal to unity, the shear stress approaches the asymptotic value. Furthermore, the volume flux across a plane normal to the flow is calculated and it is found that when the value of the non-dimensional time is equal to unity, the volume flux approaches the asymptotic value.
%U https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/
%0 Journal Article
%R 
%& 749
%P 6
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 55
%N 12
%@ 0039-2480
%8 2017-10-24
%7 2017-10-24
Erdogan, M. Emin, & C. Erdem  Imrak.
"An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls." Strojniški vestnik - Journal of Mechanical Engineering [Online], 55.12 (2009): 749-754. Web.  09 Dec. 2021
TY  - JOUR
AU  - Erdogan, M. Emin 
AU  - Imrak, C. Erdem 
PY  - 2009
TI  - An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Naiver-Stokes equation; analytical solution; sine transform; steady flow; unsteady flow; 
N2  - An exact solution of the Naiver-Stokes equation for unsteady flow over a moving plate between two side walls is given. This solution solves the problem that arises calculating shear stress at the bottom wall when the expression of velocity presented in literature is used. The variation of the shear stress at the bottom wall with the distance between two side walls for various values of the non-dimensional time is illustrated and it is shown that when the value of non-dimensional time is equal to unity, the shear stress approaches the asymptotic value. Furthermore, the volume flux across a plane normal to the flow is calculated and it is found that when the value of the non-dimensional time is equal to unity, the volume flux approaches the asymptotic value.
UR  - https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/
@article{{}{.},
	author = {Erdogan, M., Imrak, C.},
	title = {An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	doi = {},
	url = {https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/}
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TY  - JOUR
AU  - Erdogan, M. Emin 
AU  - Imrak, C. Erdem 
PY  - 2017/10/24
TI  - An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 55, No 12 (2009): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Naiver-Stokes equation, analytical solution, sine transform, steady flow, unsteady flow, 
N2  - An exact solution of the Naiver-Stokes equation for unsteady flow over a moving plate between two side walls is given. This solution solves the problem that arises calculating shear stress at the bottom wall when the expression of velocity presented in literature is used. The variation of the shear stress at the bottom wall with the distance between two side walls for various values of the non-dimensional time is illustrated and it is shown that when the value of non-dimensional time is equal to unity, the shear stress approaches the asymptotic value. Furthermore, the volume flux across a plane normal to the flow is calculated and it is found that when the value of the non-dimensional time is equal to unity, the volume flux approaches the asymptotic value.
UR  - https://www.sv-jme.eu/article/an-analytical-solution-of-the-navier-stokes-equation-for-flow-over-a-moving-plate-bounded-by-two-side-walls/
Erdogan, M. Emin, AND Imrak, C. Erdem.
"An Analytical Solution of the Navier-Stokes Equation for Flow over a Moving Plate Bounded by Two Side Walls" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 55 Number 12 (24 October 2017)

Authors

Affiliations

  • Istanbul Technical University, Faculty of Mechanical Engineering, Turkey
  • Istanbul Technical University, Faculty of Mechanical Engineering, Turkey

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 55(2009)12, 749-754

An exact solution of the Naiver-Stokes equation for unsteady flow over a moving plate between two side walls is given. This solution solves the problem that arises calculating shear stress at the bottom wall when the expression of velocity presented in literature is used. The variation of the shear stress at the bottom wall with the distance between two side walls for various values of the non-dimensional time is illustrated and it is shown that when the value of non-dimensional time is equal to unity, the shear stress approaches the asymptotic value. Furthermore, the volume flux across a plane normal to the flow is calculated and it is found that when the value of the non-dimensional time is equal to unity, the volume flux approaches the asymptotic value.

Naiver-Stokes equation; analytical solution; sine transform; steady flow; unsteady flow;