272
Views
16
CrossRef citations to date
0
Altmetric
Articles

Differential transform semi-numerical analysis of biofluid-particle suspension flow and heat transfer in non-Darcian porous media

, , &
Pages 896-907 | Received 09 Aug 2011, Accepted 20 Nov 2011, Published online: 07 Mar 2012

REFERENCES

  • AllahamMA, PeddiesonJ. 1993. The flow induced by a rotating disk in a particulate suspension. Int J Eng Sci. 31:1025–1034.
  • Anwar BégO, ZuecoJ, TakharHS. 2008. Laminar free convection from a continuously moving vertical surface in a thermally-stratified, non-Darcian high-porosity medium: network numerical study. Int Comm Heat Mass Transfer. 35(7):810–816.
  • Anwar BégO, ZuecoJ, GhoshSK. 2011. Unsteady hydromagnetic natural convection of a short-memory viscoelastic fluid in a non-Darcian regime: network simulation. Chem Eng Commun. 198:172–190.
  • ApazidisN. 1985. On two-dimensional laminar flows of a particulate suspension in the presence of gravity field. Int J Multiphase Flow. 11:675–698.
  • ArikogluA, OzkolI. 2005. Analysis for slip flow over a single free disk with heat transfer. ASME J Fluids Eng. 127:624–627.
  • Barthès-BieselD, LeclercE, LefebvreY, WalterJ. 2006. Flow of bioartificial capsules in microchannels. J Biomech. 39(Suppl. 1):S332–S333.
  • BhargavaR, RawatS, TakharHS, Anwar BégO. 2007. Pulsatile magneto-biofluid flow and mass transfer in a non-Darcian porous medium channel. Mecannica J. 42:247–262.
  • BhargavaR, TakharHS, RawatS, BégTA, Anwar BégO. 2007. Finite element solutions for non-Newtonian pulsatile flow in a non-Darcian porous medium conduit. Non-Linear Anal Model Control. 12(3):317–327.
  • ChenYC. 2004. Non-Darcy flow stability of mixed convection in a vertical channel filled with a porous medium. Int J Heat Mass Transfer. 47:1257–1266.
  • ChowJCF. 1975. Blood flow: theory, effective viscosity and effects of particle distribution. Bull Math Biol. 37:471–488.
  • DrewDA. 1983. Mathematical modeling of two-phase flow. Annu Rev Fluid Mech. 15:261–291.
  • ElootS, De WachterD, Van TrichtI, VerdonckP. 2002. Computational flow modeling in hollow-fiber dialyzers. Int J Artificial Organs. 26:590–599.
  • FillettiÉR, SeleghimP. 2010. Nonintrusive measurement of interfacial area and volumetric fraction in dispersed two-phase flows using a neural network to process acoustic signals-A numerical investigation. Int J Num Methods Biomed Eng. 26:234–251.
  • GoldsmithHL, SkalakR. 1975. Hemodynamics. Annu Rev Fluid Mech. 7:213–247.
  • HashmiSM. 2008. Deformable particles and suspension flow properties [PhD Thesis]. New Haven, CT: Engineering Sciences, Yale University.
  • HusseinMA, EsterlS, PörtnerR, WiegandtK, BeckerT. 2008. On the lattice Boltzmann method simulation of a two-phase flow bioreactor for artificially grown cartilage cells. J Biomech. 41:3455–3461.
  • Jiménez-LozanoJ, SenM. 2010. Particle dispersion in two-dimensional peristaltic flow. Phys Fluids. 22:043303, 10.1063/1.3366665.
  • KeskinY, OenesizY, ServiS, EserH, KurnazA, OturanG. 2006. A new approach to gas dynamics equation: an application of the differential transform method. Int Conf Model Simulat. MS-06:883–887.
  • KumarA, BeraP, KumarJ. 2011. Non-Darcy mixed convection in a vertical pipe filled with porous medium. Int J Thermal Sci. 50:725–735.
  • LiHB, LuXY, FangHP, LinZF. 2005. Simulation of multi-particle suspensions in a quasi-two-dimensional symmetric stenotic artery with Lattice Boltzmann method. Prog Comput Fluid Dynamics. 5:65–74.
  • LuoHY, LiuY, YangXL. 2007. Particle deposition in obstructed airways. J. Biomechanics. 40:3096–3104.
  • Mansour Al-SubaieA, ChamchaAJ. 2004. Transient natural convection flow of a particulate suspension through a vertical channel. Heat Mass Transfer. 40:707–713.
  • MarbleFE. 1970. Dynamics of dusty gases. Annu Rev Fluid Mech. 2:397–446.
  • MekheimerKS, Abd ElmaboudY. 2008. Peristaltic transport of a particle-fluid suspension through a uniform and non-uniform annulus. Appl Bionics Biomech. 5:47–57.
  • MukhopadhyayS, UshaR, TulapurkaraEG. 2009. Numerical study of concentrated fluid-particle suspension flow in a wavy channel. Int J Num Methods Fluids. 59:1125–1155.
  • NakayamaA, KuwaharaF, KoyamaH. 1993. Transient non-Darcy free convection between parallel vertical plates in a fluid saturated porous medium. Appl Scientific Res. 50:29–42.
  • RashidiMM, Mohimanian PourSA. 2010. Analytic solution of steady three-dimensional problem of condensation film on inclined rotating disk by differential transform method. Math Prob Eng. ID 613230, 10.1155/2010/613230.
  • RashidiMM, LaraqiN, Basiri ParsaA. 2011a. Analytical modeling of heat convection in magnetized micropolar fluid by using modified differential transform method. Heat Transfer Asian Res. 40:187–204.
  • RashidiMM, KeimaneshM, Anwar BégO, HungTK. 2011b. Magnetohydrodynamic biorheological transport phenomena in a porous medium: a simulation of magnetic blood flow control and filtration. Int J Num Methods Biomed Eng. 27:805–821.
  • RashidiMM, Anwar BégO, RahimzadehN. 2012a. A generalized DTM for combined free and forced convection flow about inclined surfaces in porous media. Chem Eng Commun.199(2):257–282.
  • RashidiMM, Anwar BégO, AsadiM, RastegariMT. 2012b. DTM-Padé modeling of natural convective boundary layer flow of a nanofluid past a vertical surface. Int J Thermal Environ Eng. 4:13–24.
  • SenthilkumarV, PradhanSC, PratapG. 2010. Small scale effect on buckling analysis of carbon nanotube with Timoshenko theory by using differential transform method. Adv Sci Lett. 3:1–7.
  • SinghAK, AgnihotriP, SinghNP, SinghAK. 2011. Transient and non-Darcian effects on natural convection flow in a vertical channel partially filled with porous medium: analysis with Forchheimer-Brinkman extended Darcy model. Int J Heat Mass Transfer. 54:1110–1120.
  • SrivastavaLM, SrivastavaVP. 1989. Peristaltic transport of a particle-fluid suspension. ASME J Biomech Eng. 111:157–165.
  • SrivastavaVP, SrivastavaLM. 2005. Effects of Poiseuille flow on peristaltic transport of a particulate suspension. J Appl Math Phys. 46(5):655–679.
  • TakharHS, BhargavaR, RawatS, BégTA, BégOA, HungTK. 2007. Biomagnetic hydrodynamics in a 2-dimensional non-Darcian porous medium: finite element study. J Theoretical Appl Mech. 37(2):59–76.
  • TiwariP, AntalSP, PodowskiMZ. 2006. Three-dimensional fluid mechanics of particulate two-phase flows in U-bend and helical conduits. Phys Fluids (18):043304, 10.1063/1.2189212 (18 pages).
  • VasuB, PrasadVR, Anwar BégO, AzizA, PrashadRD. 2010. Numerical analysis of magnetohydrodynamic nonlinear convection heat and mass transfer from a sphere in a non-Darcian variable porosity medium. Int J Appl Math Mech. 6:64–111.
  • VictorSA, ShahVL. 1976. Steady state heat transfer to blood flowing in the entrance region of a tube. Int J Heat Mass Transfer. 19:777–783.
  • WuZ, WillingB, BjerketorpJ, JanssonJK, HjortK. 2009. Soft inertial microfluidics for high throughput separation of bacteria from human blood cells. Lab Chip J. 9:1193–1199.
  • YouR, PeddiesonJ, GadiyaramJ, MunukutlaS. 2010. Simulation of particle/fluid flows in vertical circular pipes. Int J Non-Linear Mech. 45:490–506.
  • ZhouJK. 1986. Differential transformation and applications for electrical circuits. Wuhan: Huazhong University Press (in Chinese).
  • ZuecoJ, Anwar BégO, BégTA. 2009. Numerical solutions for unsteady rotating high-porosity medium channel Couette hydrodynamics. Physica Scripta. 80:1–8.
  • ZuecoJ, Anwar BégO, BégTA, TakharHS. 2009. Numerical study of chemically-reactive buoyancy-driven heat and mass transfer across a horizontal cylinder in a high-porosity non-Darcian regime. J. Porous Media. 12(6):519–535.
  • ZuecoJ, Anwar BégO, Lopez-OchoaLM. 2011. Non-linear transient hydromagnetic partially ionised dissipative Couette flow in a non-Darcian porous medium channel with Hall, ionslip and Joule heating effects. Prog Comput Fluid Dynamics. 11(2):116–129.
  • ZuecoJ, Anwar BégO, TakharHS. 2011. Unsteady buoyancy-driven thermal convection in a non-Darcian porous medium vertical channel with asymmetric heating/cooling. J Porous Media. 14(1):73–79.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.