2020
DOI: 10.48084/etasr.3322
|View full text |Cite
|
Sign up to set email alerts
|

Tank Drainage for an Electrically Conducting Newtonian Fluid with the use of the Bessel Function

Abstract: In this study, an unsteady flow for drainage through a circular tank of an isothermal and incompressible Newtonian magnetohydrodynamic (MHD) fluid has been investigated. The series solution method is employed, and an analytical solution is obtained. Expressions for the velocity field, average velocity, flow rate, fluid depth at different times in the tank and time required for the wide-ranging drainage of the fluid (time of efflux) have been obtained. The Newtonian solution is attained by assuming σΒ02=0. The … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
10
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
7

Relationship

1
6

Authors

Journals

citations
Cited by 14 publications
(19 citation statements)
references
References 18 publications
0
10
0
Order By: Relevance
“…A cylindrical tank, as depicted in fig. 1 and is described in [3], is considered with radius, RT, and diameter, D. The tank contains an isothermal, incompressible electrically conducting Newtonian fluid till height, H0. The radius and length of the pipe, causing drainage under gravity, is R and L. Height of the fluid in tank is function of time and is denoted by H(t).…”
Section: Tank Drainage Flowmentioning
confidence: 99%
See 2 more Smart Citations
“…A cylindrical tank, as depicted in fig. 1 and is described in [3], is considered with radius, RT, and diameter, D. The tank contains an isothermal, incompressible electrically conducting Newtonian fluid till height, H0. The radius and length of the pipe, causing drainage under gravity, is R and L. Height of the fluid in tank is function of time and is denoted by H(t).…”
Section: Tank Drainage Flowmentioning
confidence: 99%
“…It is called attention to that on the off chance that the perturbation parameter is set to be ε = 0in eq. ( 16), we recuperate the answer for the similar problem with Newtonian fluid, which is presented in [3].…”
Section: mentioning
confidence: 99%
See 1 more Smart Citation
“…In ancient times this phenomena was manual so that the removal or pouring of the liquid was done with the simple tools like ladles or buckets. In this modern era tank drainage phenomena has gained noteworthy importance and have became simple due to use of advance technologies and engineering [5,9,15]. Now tanks are made with various materials such as cement, plastic and with metals which ensure the efficient distribution and supply of fluid to the desired place.…”
Section: Introductionmentioning
confidence: 99%
“…[ [5] , [6] , [7] ].Using tank drainage flow rate and time efflux are obtained for Ellis fluid [ 8 ]. There is no one model can define all characteristics of Non-Newtonian fluid but in recent times ordered as “n” fluids have picked up remarkable attention among the Non-Newtonian fluids that almost complete the requirements of being a pure Non-Newtonian fluid, one subclass is second-grade, however this fluid lacks the shear thickening and thinning properties, in that case Fosdick and Raja Gopal established a theory regarding constancy and thermodynamics of third-grade fluids that encompasses all Non-Newtonian fluid characteristics including both properties shear thickening and shear thinning [ [9] , [10] , [11] ].Dealing with the third-order flow was a challenging task, but successfully it is done theoretically nowadays so that the third-order fluid model is well thought-out in this study because no one has study it till today in this geometry with perturbation technique. The study of third-order fluid flow problems yields much scientific insight into elastic phenomena and a better knowledge of the mathematical processes needed to solve nonlinear viscoelastic problems.…”
Section: Introductionmentioning
confidence: 99%