Abstract
This paper provides the analysis of the steady, creeping flow of a special class of slightly viscoelastic, incompressible fluid through a slit having porous walls with uniform porosity. The governing two dimensional flow equations along with non-homogeneous boundary conditions are non-dimensionalized. Recursive approach is used to solve the resulting equations. Expressions for stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses in general and on the walls of the slit, fractional absorption and leakage flux are derived. Points of maximum velocity components are also identified. A graphical study is carried out to show the effect of porosity and non-Newtonian parameter on above mentioned resulting expressions. It is observed that axial velocity of the fluid decreases with the increase in porosity and non-Newtonian parameter. The outcome of this theoretical study has significant importance both in industry and biosciences.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 140-158 |
| Number of pages | 19 |
| Journal | Journal of Applied Analysis and Computation |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2019 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
}
Creeping flow analysis of slightly non-Newtonian fluid in a uniformly porous slit. / Ullah, Hameed; Sun, Huafei; Siddiqui, Abdul M.; Haroon, Tahira.
In: Journal of Applied Analysis and Computation, Vol. 9, No. 1, 01.01.2019, p. 140-158.Research output: Contribution to journal › Article
TY - JOUR
T1 - Creeping flow analysis of slightly non-Newtonian fluid in a uniformly porous slit
AU - Ullah, Hameed
AU - Sun, Huafei
AU - Siddiqui, Abdul M.
AU - Haroon, Tahira
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper provides the analysis of the steady, creeping flow of a special class of slightly viscoelastic, incompressible fluid through a slit having porous walls with uniform porosity. The governing two dimensional flow equations along with non-homogeneous boundary conditions are non-dimensionalized. Recursive approach is used to solve the resulting equations. Expressions for stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses in general and on the walls of the slit, fractional absorption and leakage flux are derived. Points of maximum velocity components are also identified. A graphical study is carried out to show the effect of porosity and non-Newtonian parameter on above mentioned resulting expressions. It is observed that axial velocity of the fluid decreases with the increase in porosity and non-Newtonian parameter. The outcome of this theoretical study has significant importance both in industry and biosciences.
AB - This paper provides the analysis of the steady, creeping flow of a special class of slightly viscoelastic, incompressible fluid through a slit having porous walls with uniform porosity. The governing two dimensional flow equations along with non-homogeneous boundary conditions are non-dimensionalized. Recursive approach is used to solve the resulting equations. Expressions for stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses in general and on the walls of the slit, fractional absorption and leakage flux are derived. Points of maximum velocity components are also identified. A graphical study is carried out to show the effect of porosity and non-Newtonian parameter on above mentioned resulting expressions. It is observed that axial velocity of the fluid decreases with the increase in porosity and non-Newtonian parameter. The outcome of this theoretical study has significant importance both in industry and biosciences.
UR - http://www.scopus.com/inward/record.url?scp=85063543378&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85063543378&partnerID=8YFLogxK
U2 - 10.11948/2019.140
DO - 10.11948/2019.140
M3 - Article
AN - SCOPUS:85063543378
VL - 9
SP - 140
EP - 158
JO - Journal of Applied Analysis and Computation
JF - Journal of Applied Analysis and Computation
SN - 2156-907X
IS - 1
ER -