Next Article in Journal
Tibial Rotation Assessment Using Artificial Neural Networks
Previous Article in Journal
Determining Spot Price and Economic Dispatch in Deregulated Power Systems
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:

Peristaltic Flow of a Third-Grade Fluid in a Planar Channel

F. T. Akyıldız
H. Demir
* and
V. S. Ertürk
Onddokuz Mayıs Üniversitesi Fen Edebiyat Fakültesi Matematik Bölümü Kurupelit, Samsun, Turkey
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 1999, 4(2), 113-120;
Published: 1 August 1999


The problem of peristaltic transport of a non-Newtonian fluid represented by the constituve equation for a third grad fluid was analysed for the case of planar channel with harmonically undulating extensible wall, under zero Reynolds number and long wavelength approximation. New exact analytical solution of the non-linear equation resulting from the momentum equation was given when γ2 + γ3(which are the dimensionless material constants)>0 and under some conditions when γ2 + γ3<0. Also, the exact range of validity of the perturbation analysis was obtained using the Girolamo Cardano formulas and binomial theorem for both γ23>0 and γ2+ γ3<0. Finally, we have shown that pumping rate of a third-grade fluid can be greater or less than for a Newtonian fluid having a shear viscosity same as the lower-limiting viscosity of non-Newtonian material depending on the value of the material constants, amplitude ratio and flow rate.n/a

Share and Cite

MDPI and ACS Style

Akyıldız, F.T.; Demir, H.; Ertürk, V.S. Peristaltic Flow of a Third-Grade Fluid in a Planar Channel. Math. Comput. Appl. 1999, 4, 113-120.

AMA Style

Akyıldız FT, Demir H, Ertürk VS. Peristaltic Flow of a Third-Grade Fluid in a Planar Channel. Mathematical and Computational Applications. 1999; 4(2):113-120.

Chicago/Turabian Style

Akyıldız, F. T., H. Demir, and V. S. Ertürk. 1999. "Peristaltic Flow of a Third-Grade Fluid in a Planar Channel" Mathematical and Computational Applications 4, no. 2: 113-120.

Article Metrics

Back to TopTop