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Volumn 133, Issue 12, 2011, Pages

Numerical study on creeping flow of Burgers' fluids through a peristaltic tube

Author keywords

Burgers' fluids; creeping flow; homotopy analysis method; peristaltic tube

Indexed keywords

APPROXIMATE ANALYTICAL SOLUTIONS; AXIAL VELOCITY; BURGERS' FLUID; CREEPING FLOWS; FLUID ENGINEERING; FRACTIONAL MODEL; FRACTIONAL PARAMETERS; FRICTIONAL FORCES; HOMOTOPY ANALYSIS METHOD; HOMOTOPY ANALYSIS METHODS; LONG-WAVELENGTH APPROXIMATION; MATERIAL CONSTANT; MECHANICAL EFFICIENCY; NUMERICAL STUDIES; PERISTALTIC TUBE; PRESSURE DIFFERENCES; STREAMFUNCTIONS; VOLUMETRIC FLOW RATE;

EID: 84555178350     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.4005316     Document Type: Article
Times cited : (27)

References (31)
  • 1
    • 1242264927 scopus 로고    scopus 로고
    • Periodic unidirectional flows of a viscoelastic fluid with the fractional maxwell model
    • Hayat, T., Nadeem, S., and Asghar, S., 2004, "Periodic Unidirectional Flows of a Viscoelastic Fluid With the Fractional Maxwell Model," Appl. Math. Comput., 151, pp. 153-161.
    • (2004) Appl. Math. Comput. , vol.151 , pp. 153-161
    • Hayat, T.1    Nadeem, S.2    Asghar, S.3
  • 2
    • 0037410852 scopus 로고    scopus 로고
    • A note on unsteady flows of a viscoelastic fluid with the fractional maxwell model between two parallel plates
    • Tan, W., Pan, W., and Xu, M., 2003, "A Note on Unsteady Flows of a Viscoelastic Fluid With the Fractional Maxwell Model Between Two Parallel Plates," Int. J. Non-Linear Mech., 38, pp. 645-650.
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 645-650
    • Tan, W.1    Pan, W.2    Xu, M.3
  • 3
    • 0036703760 scopus 로고    scopus 로고
    • Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell model
    • Tan, W., and Xu, M., 2002 "Plane Surface Suddenly Set in Motion in a Viscoelastic Fluid With Fractional Maxwell Model," Acta Mech. Sin., 18, pp. 342-349. (Pubitemid 35373309)
    • (2002) Acta Mechanica Sinica/Lixue Xuebao , vol.18 , Issue.4 , pp. 342-349
    • Tan, W.1    Xu, M.2
  • 4
    • 34147203638 scopus 로고
    • Relaxation and retardation functions of the maxwell model with fractional derivatives
    • Friedrich, C., 1991, "Relaxation and Retardation Functions of the Maxwell model With Fractional Derivatives," Rheol. Acta, 30, pp. 151-158.
    • (1991) Rheol. Acta , vol.30 , pp. 151-158
    • Friedrich, C.1
  • 5
    • 33750576569 scopus 로고    scopus 로고
    • Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
    • DOI 10.1007/s10409-006-0013-x
    • Qi, H., and Jin, H., 2006, "Unsteady Rotating Flows of a Viscoelastic Fluid With the Fractional Maxwell Model Between Coaxial Cylinders," Acta Mech. Sin., 22, pp. 301-305. (Pubitemid 44678187)
    • (2006) Acta Mechanica Sinica/Lixue Xuebao , vol.22 , Issue.4 , pp. 301-305
    • Qi, H.1    Jin, H.2
  • 6
    • 33750495838 scopus 로고    scopus 로고
    • Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel
    • DOI 10.1016/j.mechrescom.2006.09.003, PII S0093641306000838
    • Qi, H., and Xu, M., 2007, "Unsteady Flow of Viscoelastic Fluid With Fractional Maxwell Model in Channel," Mech. Res. Commun., 34, pp. 210-212. (Pubitemid 44667003)
    • (2007) Mechanics Research Communications , vol.34 , Issue.2 , pp. 210-212
    • Qi, H.1    Xu, M.2
  • 7
    • 58249126340 scopus 로고    scopus 로고
    • Decay of potential vortex for a viscoelastic fluid with fractional maxwell model
    • Khan, M., Ali, S. H., Fetecau, C., and Qi, H., 2009, "Decay of Potential Vortex for a Viscoelastic Fluid with Fractional Maxwell Model," Appl. Math. Model., 33, pp. 2526-2533.
    • (2009) Appl. Math. Model. , vol.33 , pp. 2526-2533
    • Khan, M.1    Ali, S.H.2    Fetecau, C.3    Qi, H.4
  • 8
    • 43049159228 scopus 로고    scopus 로고
    • Flow of a viscoelastic fluid with the fractional maxwell model between two side walls perpendicular to a plate
    • Vieru, D., Fetecau, C., and Fetecau, C., 2008, "Flow of a Viscoelastic Fluid With the Fractional Maxwell Model Between Two Side Walls Perpendicular to a Plate," Appl. Math. Comput., 200, pp. 459-464.
    • (2008) Appl. Math. Comput. , vol.200 , pp. 459-464
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 9
    • 56549125687 scopus 로고    scopus 로고
    • Axial Couette Flow of Two Kinds of Fractional Viscoelastic Fluids in an Annulus
    • Wang, S., and Xu, M., 2009, "Axial Couette Flow of Two Kinds of Fractional Viscoelastic Fluids in an Annulus," Nonlinear Anal.: Real World Appl., 10, pp. 1087-1096.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 1087-1096
    • Wang, S.1    Xu, M.2
  • 10
    • 61749088333 scopus 로고    scopus 로고
    • On accelerated flows of a viscoelastic fluid with the fractional burgers' model
    • Khan, M., Ali, S. H., and Qi, H., 2009, "On Accelerated Flows of a Viscoelastic Fluid With the Fractional Burgers' Model," Nonlinear Anal.: Real World Appl., 10, pp. 2286-2296.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 2286-2296
    • Khan, M.1    Ali, S.H.2    Qi, H.3
  • 11
    • 67649600677 scopus 로고    scopus 로고
    • Some unsteady unidirectional flows of a generalized oldroyd-b fluid with fractional derivative
    • Qi, H., and Xu, M., 2009, "Some Unsteady Unidirectional Flows of a Generalized Oldroyd-B Fluid with Fractional Derivative," Appl. Math. Model., 33, pp. 4184-4191.
    • (2009) Appl. Math. Model. , vol.33 , pp. 4184-4191
    • Qi, H.1    Xu, M.2
  • 12
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized oldroyd-b model
    • Qi, H., and Xu, M., 2007, "Stokes' First Problem for a Viscoelastic Fluid With the Generalized Oldroyd-B Model," Acta Mech. Sin., 23, pp. 463-469.
    • (2007) Acta Mech. Sin. , vol.23 , pp. 463-469
    • Qi, H.1    Xu, M.2
  • 13
    • 34547657473 scopus 로고    scopus 로고
    • General periodic flows of fractional oldroyd-b fluid for an edge
    • Nadeem, S., 2007, "General Periodic Flows of Fractional Oldroyd-B Fluid for an Edge," Phys. Lett. A, 368, pp. 181-187.
    • (2007) Phys. Lett. A , vol.368 , pp. 181-187
    • Nadeem, S.1
  • 14
    • 34250778451 scopus 로고    scopus 로고
    • On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
    • DOI 10.1007/s10409-007-0078-1
    • Hayat, T., Khan, M., and Asghar, S., 2007, "On the MHD Flow of Fractional Generalized Burgers' Fluid With Modified Darcy's Law," Acta Mech. Sin., 23, pp. 257-261. (Pubitemid 46966140)
    • (2007) Acta Mechanica Sinica/Lixue Xuebao , vol.23 , Issue.3 , pp. 257-261
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 16
    • 0242264738 scopus 로고
    • Peristaltic motion
    • Burns, J. C., and Parkes, T., 1970, "Peristaltic Motion," J. Fluid Mech., 29, pp. 731-743.
    • (1970) J. Fluid Mech. , vol.29 , pp. 731-743
    • Burns, J.C.1    Parkes, T.2
  • 17
    • 0014545261 scopus 로고
    • Peristaltic pumping with long wavelengths at low reynolds number
    • Shapiro, A. H., Jafferin, M. Y., and Weinberg, S. L., 1969, "Peristaltic Pumping With Long Wavelengths at Low Reynolds Number," J. Fluid Mech., 37, pp. 799-825.
    • (1969) J. Fluid Mech. , vol.37 , pp. 799-825
    • Shapiro, A.H.1    Jafferin, M.Y.2    Weinberg, S.L.3
  • 18
    • 0035442750 scopus 로고    scopus 로고
    • Non-newtonian effects in the peristaltic flow of a maxwell fluid
    • Tsiklauri, D., and Beresnev, I., 2001, "Non-Newtonian Effects in the Peristaltic Flow of a Maxwell Fluid," Phys. Rev. E, 64, p. 036303.
    • (2001) Phys. Rev. E , vol.64 , pp. 036303
    • Tsiklauri, D.1    Beresnev, I.2
  • 19
    • 60649103608 scopus 로고    scopus 로고
    • Peristaltic flow of a maxwell fluid in a channel with compliant walls
    • Ali, N., Hayat, T., and Asghar, S., 2009, "Peristaltic Flow of a Maxwell Fluid in a Channel With Compliant Walls," Chaos, Solitons Fractals, 39, pp. 407-416.
    • (2009) Chaos, Solitons Fractals , vol.39 , pp. 407-416
    • Ali, N.1    Hayat, T.2    Asghar, S.3
  • 20
    • 33750805301 scopus 로고    scopus 로고
    • Exact peristaltic flow in tubes with an endoscope
    • DOI 10.1016/j.amc.2006.02.052, PII S0096300306003432
    • Hayat, T., Ali, N., Asghar, S., and Siddiqui, A. M., 2006, "Exact Peristaltic Flow in Tubes With an Endoscope," Appl. Math. Comput., 182, pp. 359-368. (Pubitemid 44716294)
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.1 , pp. 359-368
    • Hayat, T.1    Ali, N.2    Asghar, S.3    Siddiqui, A.M.4
  • 21
    • 38049040359 scopus 로고    scopus 로고
    • Peristaltic motion of a jeffrey fluid under the effect of a magnetic field in a tube
    • Hayat, T., and Ali, N., 2008, "Peristaltic Motion of a Jeffrey Fluid Under the Effect of a Magnetic Field in a Tube," Commun. Nonlinear Sci. Numer. Simul., 13, pp. 1343-1352.
    • (2008) Commun. Nonlinear Sci. Numer. Simul. , vol.13 , pp. 1343-1352
    • Hayat, T.1    Ali, N.2
  • 22
    • 33947431695 scopus 로고    scopus 로고
    • Peristaltic motion of a Burger's fluid in a planar channel
    • DOI 10.1016/j.amc.2006.07.098, PII S0096300306009428
    • Hayat, T., Ali, N., and Asghar, S., 2007, "Peristaltic Motion of a Burger's Fluid in a Planar Channel," Appl. Math. Comput., 186, pp. 309-329. (Pubitemid 46442700)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.1 , pp. 309-329
    • Hayat, T.1    Ali, N.2    Asghar, S.3
  • 23
    • 72749114026 scopus 로고    scopus 로고
    • Peristaltic flow of viscoelastic fluid with fractional maxwell model through a channel
    • Tripathi, D., Pandey, S. K., and Das, S., 2010, "Peristaltic Flow of Viscoelastic Fluid With Fractional Maxwell Model through a Channel," Appl. Math. Comput., 215, pp. 3645-3654.
    • (2010) Appl. Math. Comput. , vol.215 , pp. 3645-3654
    • Tripathi, D.1    Pandey, S.K.2    Das, S.3
  • 24
    • 79551562139 scopus 로고    scopus 로고
    • Peristaltic transport of a viscoelastic fluid in a channel
    • Tripathi, D., 2011, "Peristaltic Transport of a Viscoelastic Fluid in a Channel," Acta Astron., 68, pp. 1379-1385.
    • (2011) Acta Astron. , vol.68 , pp. 1379-1385
    • Tripathi, D.1
  • 25
    • 84555176380 scopus 로고    scopus 로고
    • Numerical and analytical simulation of peristaltic flows of generalized oldroyd-b fluids
    • Fluids, to be published
    • Tripathi, D., 2010, "Numerical and Analytical Simulation of Peristaltic Flows of Generalized Oldroyd-B Fluids," Int. J. Numer. Methods Fluids, to be published.
    • (2010) Int. J. Numer. Methods
    • Tripathi, D.1
  • 26
    • 79960996522 scopus 로고    scopus 로고
    • Peristaltic Transport of Fractional Maxwell Fluids in Uniform Tubes: Application of an Endoscope
    • Tripathi, D., 2011, "Peristaltic Transport of Fractional Maxwell Fluids in Uniform Tubes: Application of an Endoscope," Comput. Math. App., 62, pp. 1116-1126.
    • (2011) Comput. Math. App. , vol.62 , pp. 1116-1126
    • Tripathi, D.1
  • 27
    • 80052535395 scopus 로고    scopus 로고
    • A mathematical model for the peristaltic flow of chyme movement in small intestine
    • Tripathi, D., 2011, "A Mathematical Model for the Peristaltic Flow of Chyme Movement in Small Intestine," Math. Biosci., 233, pp. 90-97.
    • (2011) Math. Biosci. , vol.233 , pp. 90-97
    • Tripathi, D.1
  • 28
    • 84555185218 scopus 로고    scopus 로고
    • Numerical study on peristaltic transport of fractional bio- fluids
    • to be published
    • Tripathi, D., 2011, "Numerical Study on Peristaltic Transport of Fractional Bio- Fluids," J. Mech. Med. Biol., to be published.
    • (2011) J. Mech. Med. Biol.
    • Tripathi, D.1
  • 29
    • 0032285655 scopus 로고    scopus 로고
    • Homotopy analysis method: A new analytic method for nonlinear problems
    • Liao, S. J., 1998, "Homotopy Analysis Method: A New Analytic Method for Nonlinear Problems," Appl. Math. Mech., 19, pp. 957-962.
    • (1998) Appl. Math. Mech. , vol.19 , pp. 957-962
    • Liao, S.J.1
  • 31
    • 0012551086 scopus 로고
    • Peristaltic pumping in circular cylindrical tubes: A numerical study of fluid transport and its efficiency
    • Takabatake, S., Ayukawa, K., and Mori, A., 1988, "Peristaltic Pumping in Circular Cylindrical Tubes: A Numerical Study of Fluid Transport and its Efficiency," J. Fluid Mech., 193, pp. 267-283.
    • (1988) J. Fluid Mech. , vol.193 , pp. 267-283
    • Takabatake, S.1    Ayukawa, K.2    Mori, A.3


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