Analytical solution for fully developed channel and pipe flow of 
Phan-Thien–Tanner fluids

Oliveira, Paulo J.; Pinho, F.T.

doi:10.1017/s002211209900453x

Cited by 189 publications

(139 citation statements)

References 9 publications

Supporting

Mentioning

123

Contrasting

Unclassified

Order By: Relevance

“…This reduction of the temperature dierences stems from an improved heat transfer in the wall region due to the higher velocity gradients there, at high values of the Deborah number (check Fig. 2 of Oliveira and Pinho [9]). …”

Section: Negative Heat¯ux At the Wall (Wall Heating)mentioning

confidence: 94%

“…The analytical hydrodynamic solution of the simpli®ed PTT¯uid¯owing in a pipe has been obtained recently by Oliveira and Pinho [9]. Based on that solution we analyse now the corresponding heat transfer problem and derive the temperature distribution and heat transfer coecient for pipe and channel¯ows of the simpli®ed form of the PTT model with a linear stress-coecient.…”

Section: à2mentioning

confidence: 98%

“…with the velocity and shear stress pro®les taking the forms derived by Oliveira and Pinho [9] and given in Eqs. (12) and (13), respectively.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…(21) represents the volumetric¯ow rate pR 2 " uX Oliveira and Pinho [9] derived analytically a useful expression for the bulk velocity…”

Section: Pipe¯owmentioning

confidence: 99%

“…For the channel¯ow the analytical derivation is similar and is based on the hydrodynamic solution of Oliveira and Pinho [9]. The analysis starts with the set of equations corresponding to Eqs.…”

Section: Channel¯owmentioning

confidence: 99%

See 4 more Smart Citations

Analysis of forced convection in pipes and channels with the simplified Phan-Thien–Tanner fluid

Pinho

Oliveira

2000

International Journal of Heat and Mass Transfer

102

View full text Add to dashboard Cite

Analytical solutions are derived for the temperature distribution and heat transfer coecient in forced convection of a viscoelastic¯uid obeying the simpli®ed Phan-Thien±Tanner constitutive equation in laminar pipe and plane channel¯ows. The results are valid for fully developed thermal and hydrodynamic¯ow conditions with a constant heat¯ux imposed at the wall and include the investigation of the eects of viscous dissipation. A nonvanishing value of the extensional parameter of the¯uid model is shown to be essential for the solution to dier signi®cantly from that for a Newtonian, or an elastic¯uid without extensibility. Elasticity, only when combined with extensibility, is shown to increase the heat transfer and to reduce the range of temperatures present inside a duct. These bene®cial eects of¯uid elasticity are enhanced by viscous dissipation. 7

show abstract

Section: Negative Heat¯ux At the Wall (Wall Heating)mentioning

confidence: 94%

Section: à2mentioning

confidence: 98%

“…with the velocity and shear stress pro®les taking the forms derived by Oliveira and Pinho [9] and given in Eqs. (12) and (13), respectively.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…(21) represents the volumetric¯ow rate pR 2 " uX Oliveira and Pinho [9] derived analytically a useful expression for the bulk velocity…”

Section: Pipe¯owmentioning

confidence: 99%

Section: Channel¯owmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of forced convection in pipes and channels with the simplified Phan-Thien–Tanner fluid

Pinho

Oliveira

2000

International Journal of Heat and Mass Transfer

102

View full text Add to dashboard Cite

show abstract

Research on the rheological and flow characteristics of a supramolecular gel in fractures

Wang

Sun

Shen

et al. 2021

J of Applied Polymer Sci

View full text Add to dashboard Cite

Loss circulation is one of the major concerns in drilling and well construction.An effective way to control drilling fluid loss and strengthen the wellbore is to plug fractures and holes with loss circulation materials. In this work, a hydrophobic association supramolecular hydrogel GP-A developed by n-dodecylacrylamide, methacrylamide and 2-acrylamide-2-methylpropylsulfonic acid was proposed as a potential lost circulation material for malignant drilling fluid loss. The results show that the initial decomposition temperature of GP-A was 172 C, and the flow characteristics conform to the Herschel-Bulkley model with yield stress. Microstructural analysis shows that GP-A gel with a 3D spatial network, and hydrogen bonds between branched chains form a dynamically recoverable structure. Based on POLYFLOW, the Phan Thien-Tanner model with viscoelastic parameters was used to simulate the viscoelastic flow characteristics of the fluid in fractures. The higher the concentration is, the greater K, and the higher the inlet driving pressure, while the nonlinear relationship between the driving pressure and the gel slug length is evident.

show abstract

Wire‐coating by withdrawal from a bath of Phan‐Thien‐Tanner fluid

Javed

Ali

Hayat³

2015

Can J Chem Eng

View full text Add to dashboard Cite

In this paper, the problem of coating wire by withdrawing it from a bath of Phan‐Thien‐Tanner (PTT) fluid is investigated. The problem is analyzed using (a) the complete form of the Phan‐Thien‐Tanner (PTT) constitutive equation with a linearized version of the stress coefficient; and (b) the simplified form of the PTT constitutive equation with an exponential version of the stress coefficient. An exact solution of the governing equation is obtained for both cases. The influences of various emerging parameters on the velocity profile, volumetric flow rate, radius of coated wire, shear stress at the surface of the wire, and force required to pull the wire are discussed through graphical illustrations.

show abstract

Analytical solution for fully developed channel and pipe flow of Phan-Thien–Tanner fluids

Cited by 189 publications

References 9 publications

Analysis of forced convection in pipes and channels with the simplified Phan-Thien–Tanner fluid

Analysis of forced convection in pipes and channels with the simplified Phan-Thien–Tanner fluid

Research on the rheological and flow characteristics of a supramolecular gel in fractures

Wire‐coating by withdrawal from a bath of Phan‐Thien‐Tanner fluid

Contact Info

Product

Resources

About