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1

The extended Graetz problem for dipolar fluids

Fahir Talay Akyildiz, Hamid Bellout

Journal:

International Journal of Heat and Mass Transfer

Year:

2004

Language:

english

File:

PDF, 305 KB

english, 2004

2

Exact solutions of nonlinear differential equations arising in third grade fluid flows

F.Talay Akyildiz, Hamid Bellout, K Vajravelu

Journal:

International Journal of Non-Linear Mechanics

Year:

2004

Language:

english

File:

PDF, 267 KB

english, 2004

3

Energy losses and heat transfer enhancement in transversally corrugated pipes

F. Talay Akyildiz, Dennis A. Siginer, Lyes Khezzar

Journal:

International Journal of Heat and Mass Transfer

Year:

2011

Language:

english

File:

PDF, 477 KB

english, 2011

4

Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces

F. Talay Akyildiz, Hamid Bellout, Kuppalapalle Vajravelu, Robert A. Van Gorder

Journal:

Nonlinear Analysis: Real World Applications

Year:

2011

Language:

english

File:

PDF, 332 KB

english, 2011

5

Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Şahin, Mehmet, Olgun, Necati, Akyıldız, F. Talay, Karakuş, Ali

Journal:

Abstract and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 108 KB

english, 2012

6

Exact solution for forced convection gaseous slip flow in corrugated microtubes

Akyildiz, F. Talay, Siginer, Dennis A.

Journal:

International Journal of Heat and Mass Transfer

Year:

2017

Language:

english

File:

PDF, 1.20 MB

english, 2017

7

Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

Akyildiz, F. Talay, Vajravelu, K.

Journal:

Differential Equations and Nonlinear Mechanics

Year:

2006

Language:

english

File:

PDF, 1.94 MB

english, 2006

8

Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet

F. Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, J. R. Cannon, Robert A. Van Gorder

Journal:

Mathematical Methods in the Applied Sciences

Year:

2010

Language:

english

File:

PDF, 124 KB

english, 2010

9

Stokes' first problem for a Newtonian fluid in a non-Darcian porous half-space using a Laguerre–Galerkin method

F. Talay Akyildiz

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 155 KB

english, 2007

10

Spectral approximation for drainage of an Elastico-viscous liquid and error analysis

F. Talay Akyildiz, Dennis A. Siginer

Journal:

Numerical Methods for Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 204 KB

english, 2012

11

Chaos in the thermal convection of a Newtonian fluid with a temperature dependent viscosity

F. Talay Akyildiz, Hamid Bellout

Journal:

Applied Mathematics and Computation

Year:

2005

Language:

english

File:

PDF, 331 KB

english, 2005

12

A numerical study for computation of geodesic curves

Emin Kasap, Mustafa Yapici, F. Talay Akyildiz

Journal:

Applied Mathematics and Computation

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

13

Surfaces with common geodesic in Minkowski 3-space

Emin Kasap, F. Talay Akyildiz

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 602 KB

english, 2006

14

Orthogonal cubic spline collocation method for the nonlinear parabolic equation arising in non-Newtonian fluid flow

F. Talay Akyildiz, K. Vajravelu

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 477 KB

english, 2007

15

A generalization of surfaces family with common spatial geodesic

Emin Kasap, F. Talay Akyildiz, Keziban Orbay

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 1.09 MB

english, 2008

16

Implicit differential equation arising in the steady flow of a Sisko fluid

F. Talay Akyildiz, K. Vajravelu, R.N. Mohapatra, Erik Sweet, Robert A. Van Gorder

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 469 KB

english, 2009

17

Analytical and numerical results for the Swift–Hohenberg equation

F. Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, Robert A. Van Gorder

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 329 KB

english, 2010

18

Nonlinear damped wave equation arising in viscoelastic fluid flows

Fahir Talay Akyildiz

Journal:

Applied Mathematics Letters

Year:

2007

Language:

english

File:

PDF, 218 KB

english, 2007

19

Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet

Robert A. Van Gorder, K. Vajravelu, F. Talay Akyildiz

Journal:

Applied Mathematics Letters

Year:

2011

Language:

english

File:

PDF, 229 KB

english, 2011

20

Brinkman equation for a corrugated pipe using a spectral–Galerkin method

F. Talay Akyildiz, Hamid Bellout

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 499 KB

english, 2010

21

A new method for homoclinic solutions of ordinary differential equations

F. Talay Akyildiz, K. Vajravelu, S.-J. Liao

Journal:

Chaos, Solitons & Fractals

Year:

2009

Language:

english

File:

PDF, 241 KB

english, 2009

22

Diffusion of chemically reactive species in a porous medium over a stretching sheet

F. Talay Akyildiz, Hamid Bellout, K. Vajravelu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 433 KB

english, 2006

23

Viscoelastic stresses in the stagnation flow of a dilute polymer solution

Robert A. Van Gorder, K. Vajravelu, F. Talay Akyildiz

Journal:

Journal of Non-Newtonian Fluid Mechanics

Year:

2009

Language:

english

File:

PDF, 843 KB

english, 2009

24

Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction

F. Talay Akyildiz, Dennis A. Siginer

Journal:

Mathematical and Computer Modelling

Year:

2010

Language:

english

File:

PDF, 407 KB

english, 2010

25

Galerkin–Legendre spectral method for the velocity and thermal boundary layers over a non-linearly stretching sheet

F. Talay Akyildiz, Dennis A. Siginer

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 559 KB

english, 2010

26

Magnetohydrodynamic flow of a viscoelastic fluid

F. Talay Akyildiz, K. Vajravelu

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 148 KB

english, 2008

27

A note on the flow of a third-grade fluid between heated parallel plates

F.Talay Akyıldız

Journal:

International Journal of Non-Linear Mechanics

Year:

2001

Language:

english

File:

PDF, 115 KB

english, 2001

28

A note on the flow of a non-newtonian fluid film

F. Talay Akyıldız

Journal:

International Journal of Non-Linear Mechanics

Year:

1998

Language:

english

File:

PDF, 118 KB

english, 1998

29

Fully developed laminar slip and no-slip flow in rough microtubes

F. Talay Akyildiz, Dennis A. Siginer

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2011

Language:

english

File:

PDF, 228 KB

english, 2011

30

Fourier–Galerkin domain truncation method for Stokes’ first problem with Oldroyd four-constant liquid

F. Talay Akyildiz, K. Vajravelu, H. Ozekes

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 308 KB

english, 2008

31

Spectral approximation for a nonlinear partial differential equation arising in thin film flow of a non-Newtonian fluid

F. Talay Akyildiz, Dennis A. Siginer, Huseyin Kaplan

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2012

Language:

english

File:

PDF, 527 KB

english, 2012

32

Laguerre spectral approximation of Stokes’ first problem for third-grade fluid

F. Talay Akyildiz

Journal:

Nonlinear Analysis: Real World Applications

Year:

2009

Language:

english

File:

PDF, 779 KB

english, 2009

33

A Steady Weak Solution of the Equations of Motion of a Viscous Incompressible Fluid through Porous Media in a Domain with a Non-Compact Boundary

Fahir Talay Akyildiz, Jiří Neustupa, Dennis Siginer

Journal:

Acta Applicandae Mathematicae

Year:

2012

Language:

english

File:

PDF, 759 KB

english, 2012

34

Natural convection heat transfer of a viscous fluid in a vertical porous channel

Van Gorder, Robert A., Akyildiz, F. Talay, Siginer, Dennis A., Vajravelu, K.

Journal:

Journal of Engineering Mathematics

Year:

2012

Language:

english

File:

PDF, 376 KB

english, 2012

35

Existence and uniqueness for a nonlinear inverse reaction-diffusion problem with a nonlinear source in higher dimensions

Akyildiz, Fahir Talay, Tatar, Salih, Ulusoy, Suleyman

Journal:

Mathematical Methods in the Applied Sciences

Year:

2013

Language:

english

File:

PDF, 145 KB

english, 2013

36

Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface

Akyildiz, F. Talay, Koksal, Mehmet Emir, Kaplan, Nurhan

Journal:

Discrete Dynamics in Nature and Society

Year:

2011

Language:

english

File:

PDF, 544 KB

english, 2011

37

Eigenvalues of holomorphic functions for the third boundary condition

Mohammed, Alip, Siginer, Dennis A., Akyildiz, Fahir Talay

Journal:

Quarterly of Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.61 MB

english, 2015

38

Viscoelastic Lubrication With Phan-Thein-Tanner Fluid (PTT)

Akyildiz, F. Talay, Bellout, Hamid

Journal:

Journal of Tribology

Year:

2004

Language:

english

File:

PDF, 85 KB

english, 2004

39

Discussion: “Effect of Corrugated Roughness on Developed Laminar Flow in Microtubes,” (Duan, Z. and Muzychka, Y. M., 2008, ASME Trans. J. Fluids Eng., 130, p. 031102)

Akyildiz, F. Talay, Siginer, Dennis A.

Journal:

Journal of Fluids Engineering

Year:

2012

Language:

english

File:

PDF, 159 KB

english, 2012

40

A note on the steady flow of Newtonian fluids with pressure dependent viscosity in a rectangular duct

Akyildiz, F. Talay, Siginer, Dennis

Journal:

International Journal of Engineering Science

Year:

2016

Language:

english

File:

PDF, 861 KB

english, 2016

41

Erratum to: Natural convection heat transfer of a viscous fluid in a vertical porous channel

Akyildiz, F. Talay, Siginer, Dennis A., Vajravelu, K., Van Gorder, Robert A.

Journal:

Journal of Engineering Mathematics

Year:

2016

Language:

english

File:

PDF, 316 KB

english, 2016

42

[ASME 2010 14th International Heat Transfer Conference - Washington, DC, USA (August 8–13, 2010)] 2010 14th International Heat Transfer Conference, Volume 2 - Heat Transfer Enhancement in Corrugated Pipes

Siginer, Dennis A., Akyildiz, F. Talay

Year:

2010

Language:

english

File:

PDF, 206 KB

english, 2010

43

Thermally Developing Heat Transfer With Nonlinear Viscoelastic and Newtonian Fluids With Pressure-Dependent Viscosity

Siginer, Dennis A., Talay Akyildiz, F., Boutaous, Mhamed

Journal:

Journal of Heat Transfer

Year:

2018

Language:

english

File:

PDF, 1.10 MB

english, 2018

44

LAMINAR FORCED CONVECTION IN TRANSVERSELY CORRUGATED MICROTUBES

Akyildiz, F.Talay, Siginer, Dennis A.

Journal:

Journal of Heat Transfer

Year:

2018

Language:

english

File:

PDF, 1.08 MB

english, 2018

45

UNSTEADY FLOW OF POWER LAW FLUIDS WITH WALL SLIP IN MICRODUCTS

Akyildiz, F.Talay, Siginer, Dennis A., Boutaous, M'hamed

Journal:

Journal of Fluids Engineering

Year:

2019

File:

PDF, 1.63 MB

2019

46

Electro-osmotic and Pressure-Driven Flow in an Eccentric Microannulus

Akyildiz, F. Talay, AlSohaim, Abeer F.A., Kaplan, Nurhan

Journal:

Zeitschrift für Naturforschung A

Year:

2019

Language:

english

File:

PDF, 6.24 MB

english, 2019

47

Unsteady gaseous Poiseuille slip flow in rectangular microchannels

Siginer, Dennis A., Akyildiz, F. Talay, Boutaous, Mhamed

Journal:

Journal of the Brazilian Society of Mechanical Sciences and Engineering

Year:

2019

Language:

english

File:

PDF, 1.77 MB

english, 2019

48

Pseudo spectral solution of extended Graetz problem for combined pressure-driven and electroosmotic flow in a triangular micro-duct

Alshammari, Fehaid Salem, Akyildiz, F. Talay

Journal:

Computers & Mathematics with Applications

Year:

2020

File:

PDF, 3.89 MB

2020

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