Effects of the side walls on the unsteady flow of a second-grade fluid in a duct of uniform cross-section

Erdoğan, Matem; İmrak, C. Erdem

doi:10.1016/j.ijnonlinmec.2003.12.004

Cited by 19 publications

(13 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…After that time, in which the transients disappear, it reduces to the steady solution (13). The volume flux across a plane normal to the flow is [1,2] …”

Section: Starting Flow In a Duct Of Rectangular Cross-sectionmentioning

confidence: 99%

“…Assuming a velocity field of form (2), the governing equation is (7). The boundary and initial conditions are…”

Section: Starting Flow In a Duct Of Rectangular Cross-sectionmentioning

confidence: 99%

“…The solutions for the starting flows in a channel of rectangular cross-section have been lately extended to second-grade fluids by Erdogan and Imrak [2]. Their solutions representing the velocity fields and the volume flux across a plane normal to the flow are in a series form.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section

Fetecău

2005

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

“…After that time, in which the transients disappear, it reduces to the steady solution (13). The volume flux across a plane normal to the flow is [1,2] …”

Section: Starting Flow In a Duct Of Rectangular Cross-sectionmentioning

confidence: 99%

“…Assuming a velocity field of form (2), the governing equation is (7). The boundary and initial conditions are…”

Section: Starting Flow In a Duct Of Rectangular Cross-sectionmentioning

confidence: 99%

See 1 more Smart Citation

Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section

Fetecău

2005

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

“…Besides its importance in such applications, the exact analytic solutions in viscoelastic fluids remain an interesting field of investigation. This fact is reflected by the recent studies [12][13][14][15][16][17][18] in the existing literature dedicated to this topic. With these facts, the aim of the present work is to study the influence of Hall current and heat transfer on MHD flows of a generalized Burgers' fluid between two eccentric rotating infinite disks of different temperatures.…”

mentioning

confidence: 94%

Hall and heat transfer effects on the steady flow of a generalized Burgers’ fluid induced by a sudden pull of eccentric rotating disks

2007

View full text Add to dashboard Cite

This study looks at the magnetohydrodynamic (MHD) flow of a generalized Burgers' fluid between two heated disks rotating about noncoaxial axes normal to the disks. The steady flow and heat transfer analysis is investigated by providing exact analytic solutions. The effect of Hall current is taken into consideration. Calculations are carried out for velocity, temperature, force, and torque exerted by the fluid on one of the disks. The physical interpretation for the emerging parameters is discussed with the help of graphs. The results are compared with those available in the existing literature.

show abstract

“…He seems to be the first author who studied the unsteady flows of a fluid of second grade. Some unsteady flows of the fluids of second grade have been investigated by many authors [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

On some unsteady flows of a non-Newtonian fluid

Erdoğan

İmrak

2007

Applied Mathematical Modelling

View full text Add to dashboard Cite

Some properties of unsteady unidirectional flows of a fluid of second grade are considered for flows impulsively started from rest by the motion of a boundary or two boundaries or by sudden application of a pressure gradient. Flows considered are: unsteady flow over a plane wall, unsteady Couette flow, flow between two parallel plates suddenly set in motion with the same speed, flow due to one rigid boundary moved suddenly and one being free, unsteady Poiseuille flow and unsteady generalized Couette flow. The results obtained are compared with those of the exact solutions of the NavierStokes equations. It is found that the stress at time zero on the stationary boundary for the flows generated by impulsive motion of a boundary or two boundaries is finite for a fluid of second grade and infinite for a Newtonian fluid. Furthermore, it is shown that for unsteady Poiseuille flow the stress at time zero on the boundary is zero for a Newtonian fluid, but it is not zero for a fluid of second grade.

show abstract

Effects of the side walls on the unsteady flow of a second-grade fluid in a duct of uniform cross-section

Cited by 19 publications

References 28 publications

Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section

Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section

Hall and heat transfer effects on the steady flow of a generalized Burgers’ fluid induced by a sudden pull of eccentric rotating disks

On some unsteady flows of a non-Newtonian fluid

Contact Info

Product

Resources

About