메뉴 건너뛰기




Volumn 69, Issue 1-2, 2011, Pages 30-38

Peristaltic transport of a generalized Burgers' fluid: Application to the movement of chyme in small intestine

Author keywords

Adomian decomposition method; Channel flow; Fractional generalized Burgers' model; Peristaltic transport; Small intestine

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; ANALYTICAL APPROXIMATE SOLUTION; AXIAL VELOCITY; COMPARATIVE STUDIES; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL GENERALIZED BURGERS' MODEL; FRACTIONAL PARAMETERS; FRICTION FORCE; GENERALIZED BURGERS' FLUID; LONG WAVELENGTH; LOW REYNOLDS NUMBER; MATERIAL CONSTANT; MATHEMATICAL TOOLS; NATURAL BOUNDARY; PERISTALTIC TRANSPORT; PRESSURE DIFFERENCES; SINUSOIDAL WAVE; SMALL INTESTINE; VISCO-ELASTIC FLUID; VOLUME FLOW RATE;

EID: 79955484647     PISSN: 00945765     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actaastro.2010.12.010     Document Type: Conference Paper
Times cited : (50)

References (42)
  • 3
    • 72749105206 scopus 로고
    • Peristaltic pumping with long wavelengths at low Reynolds number
    • A.H. Shapiro, M.Y. Jafferin, and S.L. Weinberg Peristaltic pumping with long wavelengths at low Reynolds number J. Fluid Mech. 35 1969 669 675
    • (1969) J. Fluid Mech. , vol.35 , pp. 669-675
    • Shapiro, A.H.1    Jafferin, M.Y.2    Weinberg, S.L.3
  • 4
    • 0020721319 scopus 로고
    • Peristaltic flow of viscoelastic liquids
    • G. Bohme, and R. Friedrich Peristaltic flow of viscoelastic liquids J. Fluid. Mech. 128 1983 109 122
    • (1983) J. Fluid. Mech. , vol.128 , pp. 109-122
    • Bohme, G.1    Friedrich, R.2
  • 5
    • 0035442750 scopus 로고    scopus 로고
    • Non-Newtonian effects in the peristaltic flow of a Maxwell fluid
    • D. Tsiklauri, and I. Beresnev Non-Newtonian effects in the peristaltic flow of a Maxwell fluid Phys. Rev. E 64 2001 036303
    • (2001) Phys. Rev. e , vol.64 , pp. 036303
    • Tsiklauri, D.1    Beresnev, I.2
  • 6
    • 33847067515 scopus 로고    scopus 로고
    • Hall effects on the peristaltic flow of a Maxwell fluid in a porous medium
    • T. Hayat, N. Ali, and S. Asghar Hall effects on the peristaltic flow of a Maxwell fluid in a porous medium Phys. Lett. A 363 2007 397 403
    • (2007) Phys. Lett. A , vol.363 , pp. 397-403
    • Hayat, T.1    Ali, N.2    Asghar, S.3
  • 7
    • 43649087862 scopus 로고    scopus 로고
    • Peristaltic mechanism of a Maxwell fluid in an asymmetric channel
    • DOI 10.1016/j.nonrwa.2007.03.013, PII S1468121807000739
    • T. Hayat, N. Alvi, and N. Ali Peristaltic mechanism of a Maxwell fluid in an asymmetric channel Nonlinear Anal.: Real World Appl. 9 2008 1474 1490 (Pubitemid 351685791)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.4 , pp. 1474-1490
    • Hayat, T.1    Alvi, N.2    Ali, N.3
  • 8
    • 60649103608 scopus 로고    scopus 로고
    • Peristaltic flow of a Maxwell fluid in a channel with compliant walls
    • N. Ali, T. Hayat, and S. Asghar Peristaltic flow of a Maxwell fluid in a channel with compliant walls Chaos, Solitons Fractals 39 2009 407 416
    • (2009) Chaos, Solitons Fractals , vol.39 , pp. 407-416
    • Ali, N.1    Hayat, T.2    Asghar, S.3
  • 9
    • 77955772102 scopus 로고    scopus 로고
    • The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer
    • T. Hayat, and S. Hina The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer Nonlinear Anal.: Real World Appl. 11 2010 3155 3169
    • (2010) Nonlinear Anal.: Real World Appl. , vol.11 , pp. 3155-3169
    • Hayat, T.1    Hina, S.2
  • 10
    • 77957327956 scopus 로고    scopus 로고
    • Peristaltic flow characteristics of Maxwell and magnetohydrodynamic fluids in finite channels: Models for oesophageal swallowing
    • S.K. Pandey, and D. Tripathi Peristaltic flow characteristics of Maxwell and magnetohydrodynamic fluids in finite channels: models for oesophageal swallowing J. Biol. Syst. 18 2010 1 27
    • (2010) J. Biol. Syst. , vol.18 , pp. 1-27
    • Pandey, S.K.1    Tripathi, D.2
  • 11
    • 84857510351 scopus 로고    scopus 로고
    • Unsteady model of transportation of Jeffrey fluid by peristalsis
    • S.K. Pandey, and D. Tripathi Unsteady model of transportation of Jeffrey fluid by peristalsis Int. J. Biomath. 3 2010 473 491
    • (2010) Int. J. Biomath. , vol.3 , pp. 473-491
    • Pandey, S.K.1    Tripathi, D.2
  • 12
    • 38049040359 scopus 로고    scopus 로고
    • Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube
    • T. Hayat, and N. Ali Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube Commun. Nonlinear Sci. Numer. Simulation 13 2008 1343 1352
    • (2008) Commun. Nonlinear Sci. Numer. Simulation , vol.13 , pp. 1343-1352
    • Hayat, T.1    Ali, N.2
  • 13
    • 33750805301 scopus 로고    scopus 로고
    • Exact peristaltic flow in tubes with an endoscope
    • DOI 10.1016/j.amc.2006.02.052, PII S0096300306003432
    • T. Hayat, N. Ali, S. Asghar, and A.M. Siddiqui Exact peristaltic flow in tubes with an endoscope Appl. Math. Comput. 182 2006 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
  • 14
    • 34548223762 scopus 로고    scopus 로고
    • An analysis of peristaltic transport for flow of a Jeffrey fluid
    • DOI 10.1007/s00707-007-0468-2
    • T. Hayat, N. Ali, and S. Asghar An analysis of peristaltic transport for flow of a Jeffrey fluid Acta Mech. 193 2007 101 112 (Pubitemid 47319119)
    • (2007) Acta Mechanica , vol.193 , Issue.1-2 , pp. 101-112
    • Hayat, T.1    Ali, N.2    Asghar, S.3
  • 15
    • 53949115271 scopus 로고    scopus 로고
    • Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel
    • M. Kothandapani, and S. Srinivas Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel Int. J. Non-Linear Mech. 43 2008 915 924
    • (2008) Int. J. Non-Linear Mech. , vol.43 , pp. 915-924
    • Kothandapani, M.1    Srinivas, S.2
  • 16
    • 77951778008 scopus 로고    scopus 로고
    • Peristaltic flow of a Carreau fluid in a channel with different wave forms
    • T. Hayat, N. Saleem, and N. Ali Peristaltic flow of a Carreau fluid in a channel with different wave forms Numer. Meth. Partial Differential Equations 26 2010 519 534
    • (2010) Numer. Meth. Partial Differential Equations , vol.26 , pp. 519-534
    • Hayat, T.1    Saleem, N.2    Ali, N.3
  • 18
    • 77956614105 scopus 로고    scopus 로고
    • Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field
    • T. Hayat, and S. Noreen Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field Comptes Rendus Mécanique 338 2010 518 528
    • (2010) Comptes Rendus Mécanique , vol.338 , pp. 518-528
    • Hayat, T.1    Noreen, S.2
  • 19
    • 77956415697 scopus 로고    scopus 로고
    • Influence of magnetic field on peristaltic flow of viscous fluid through a finite length cylindrical tube
    • S.K. Pandey, and D. Tripathi Influence of magnetic field on peristaltic flow of viscous fluid through a finite length cylindrical tube Appl. Bion. Biomech. 7 2010 169 176
    • (2010) Appl. Bion. Biomech. , vol.7 , pp. 169-176
    • Pandey, S.K.1    Tripathi, D.2
  • 20
    • 79961014126 scopus 로고    scopus 로고
    • A Mathematical model for peristaltic transport of micro-polar fluids
    • accepted for publication
    • S.K. Pandey, D. Tripathi, A Mathematical model for peristaltic transport of micro-polar fluids, Appl. Bion. Biomech., accepted for publication.
    • Appl. Bion. Biomech.
    • Pandey, S.K.1    Tripathi, D.2
  • 21
    • 84857578441 scopus 로고    scopus 로고
    • Peristaltic transport of a casson fluid in a finite channel: Application to flows of concentrated fluids in oesophagus
    • S.K. Pandey, and D. Tripathi Peristaltic transport of a casson fluid in a finite channel: application to flows of concentrated fluids in oesophagus Int. J. Biomath. 3 2010 453 472
    • (2010) Int. J. Biomath. , vol.3 , pp. 453-472
    • Pandey, S.K.1    Tripathi, D.2
  • 22
    • 1242264927 scopus 로고    scopus 로고
    • Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model
    • T. Hayat, S. Nadeem, and S. Asghar Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model Appl. Math. Comput. 151 2004 153 161
    • (2004) Appl. Math. Comput. , vol.151 , pp. 153-161
    • Hayat, T.1    Nadeem, S.2    Asghar, S.3
  • 23
    • 0037410852 scopus 로고    scopus 로고
    • A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
    • W. Tan, W. Pan, and M. Xu A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates Int. J. Non-Linear Mech. 38 2003 645 650
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 645-650
    • Tan, W.1    Pan, W.2    Xu, M.3
  • 24
    • 0036703760 scopus 로고    scopus 로고
    • Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell model
    • W. Tan, and M. Xu Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell model Acta Mech. Sin. 18 2002 342 349 (Pubitemid 35373309)
    • (2002) Acta Mechanica Sinica/Lixue Xuebao , vol.18 , Issue.4 , pp. 342-349
    • Tan, W.1    Xu, M.2
  • 25
    • 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
    • H. Qi, and H. Jin Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders Acta Mech. Sin. 22 2006 301 305 (Pubitemid 44678187)
    • (2006) Acta Mechanica Sinica/Lixue Xuebao , vol.22 , Issue.4 , pp. 301-305
    • Qi, H.1    Jin, H.2
  • 26
    • 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
    • H. Qi, and M. Xu Unsteady flow of viscoelastic fluid with fractional Maxwell model in channel Mech. Res. Commun. 34 2007 210 212 (Pubitemid 44667003)
    • (2007) Mechanics Research Communications , vol.34 , Issue.2 , pp. 210-212
    • Qi, H.1    Xu, M.2
  • 27
    • 67649600677 scopus 로고    scopus 로고
    • Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
    • H. Qi, and M. Xu Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative Appl. Math. Model 33 2009 4184 4191
    • (2009) Appl. Math. Model , vol.33 , pp. 4184-4191
    • Qi, H.1    Xu, M.2
  • 28
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • H. Qi, and M. Xu Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model Acta Mech. Sin. 23 2007 463 469
    • (2007) Acta Mech. Sin. , vol.23 , pp. 463-469
    • Qi, H.1    Xu, M.2
  • 29
    • 34547657473 scopus 로고    scopus 로고
    • General periodic flows of fractional Oldroyd-B fluid for an edge
    • S. Nadeem General periodic flows of fractional Oldroyd-B fluid for an edge Phys. Lett. A 368 2007 181 187
    • (2007) Phys. Lett. A , vol.368 , pp. 181-187
    • Nadeem, S.1
  • 30
    • 61749088333 scopus 로고    scopus 로고
    • On accelerated flows of a viscoelastic fluid with the fractional Burgers' model
    • M. Khan, S.H. Ali, and H. Qi On accelerated flows of a viscoelastic fluid with the fractional Burgers' model Nonlinear Anal.: Real World Appl. 10 2009 2286 2296
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 2286-2296
    • Khan, M.1    Ali, S.H.2    Qi, H.3
  • 32
    • 33845874917 scopus 로고    scopus 로고
    • Steady-state solutions for some simple flows of generalized Burgers fluids
    • DOI 10.1016/j.ijnonlinmec.2006.06.004, PII S002074620600062X
    • C. Fetecau, T. Hayat, and C. Fetecau Steady-state solutions for some simple flows of generalized Burgers fluids Int. J. Non-Linear Mech. 41 2006 880 887 (Pubitemid 46027039)
    • (2006) International Journal of Non-Linear Mechanics , vol.41 , Issue.8 , pp. 880-887
    • Fetecau, C.1    Hayat, T.2    Fetecau, C.3
  • 33
    • 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
    • T. Hayat, M. Khan, and S. Asghar On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law Acta Mech. Sin. 23 2007 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
  • 34
    • 48249084496 scopus 로고    scopus 로고
    • Some exact solutions for fractional generalized Burgers' fluid in a porous space
    • M. Khan, and T. Hayat Some exact solutions for fractional generalized Burgers' fluid in a porous space Nonlinear Anal.: Real World Appl. 9 2008 1952 1965
    • (2008) Nonlinear Anal.: Real World Appl. , vol.9 , pp. 1952-1965
    • Khan, M.1    Hayat, T.2
  • 35
    • 72749114026 scopus 로고    scopus 로고
    • Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel
    • D. Tripathi, S.K. Pandey, and S. Das Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel Appl. Math. Comput. 215 2010 3645 3654
    • (2010) Appl. Math. Comput. , vol.215 , pp. 3645-3654
    • Tripathi, D.1    Pandey, S.K.2    Das, S.3
  • 36
    • 79551562139 scopus 로고    scopus 로고
    • Peristaltic transport of a viscoelastic fluid in a channel
    • D. Tripathi Peristaltic transport of a viscoelastic fluid in a channel Acta Astronaut. 2010 10.1016/j.actaastro.2010.09.012
    • (2010) Acta Astronaut.
    • Tripathi, D.1
  • 37
    • 84869828911 scopus 로고    scopus 로고
    • Peristaltic flow of a fractional second grade fluid through a cylindrical tube
    • D. Tripathi Peristaltic flow of a fractional second grade fluid through a cylindrical tube Therm. Sci. 2010 10.2298/TSCI100503061T
    • (2010) Therm. Sci.
    • Tripathi, D.1
  • 38
    • 83255192285 scopus 로고    scopus 로고
    • Numerical and analytical simulation of peristaltic flows of generalized Oldroyd-B fluids
    • 10.1002/fld.2466
    • D. Tripathi Numerical and analytical simulation of peristaltic flows of generalized Oldroyd-B fluids Int. J. Numer. Meth. Fluids 2010 10.1002/fld.2466
    • (2010) Int. J. Numer. Meth. Fluids
    • Tripathi, D.1
  • 40
    • 0035831148 scopus 로고    scopus 로고
    • A mathematical model for oesophageal swallowing of a food-bolus
    • DOI 10.1016/S0895-7177(00)00295-8, PII S0895717700002958
    • J.C. Misra, and S.K. Pandey A mathematical model for oesophageal swallowing of a food bolus Math. Comp. Model 33 2001 997 1009 (Pubitemid 32258454)
    • (2001) Mathematical and Computer Modelling , vol.33 , Issue.8-9 , pp. 997-1009
    • Misra, J.C.1    Pandey, S.K.2
  • 41
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.