Application of Navier – Stokes Equation to Solve Fluid Flow Problems
Journal of Advances in Mathematics and Computer Science,
The Navier – Stokes equations were used to obtain the velocity profile for two different fluid flow problems, firstly to a laminar flow through a pipe and secondly to flow of incompressible fluid between two boundaries, one boundary is the air and the other boundary moving with a velocity, inclined at an angle . The velocity profiles were obtained and presented in a diagram of showing how the fluid flow through the channels.
- Fluid flow
- Navier – Stokes
- laminar flow
- velocity profile
How to Cite
Adigun, J. A., & Adeniyan, A. (2015). Similarity Solution of Hydromagnetic Flow and Heat Transfer Past an Exponentially Stretching Permeable Vertical Heating effect. 34th Conference of the NMS, (p. 5). Lagos.
Haoxiang, L., & Thomas, R. B. (2004). On the Contravariant Form of the Navier - Stokes Equations in Time Dependent Curvilinear Coordinate Systems. Computational Physics, 355-375.
Kaurangini, M. L., & Jha., B. K. (2010). Generalized Coutette Flow in a Composite Parallel Plates Channel Proceedings of Sep 2010 Annual National Conference of MAN (p. 28). Nasarawa, Nigeria: Unilorin Press, Ilorin.
Kyle, M., Shariar, A., & Lou, K. (294(2015)). A Volume of Fluid Method for Simulating Fluid/Fluid Interfaces in Contact with Solid Boundaries. (pp. 243-257). Elsevier.
krishna ,M V., Prasad R.S.,& Khrishna D.V., Hall effects on steady hydro magnetic flow of a couple stress fluid through a composite medium in a rotating parallel plate channel with porous bed on the lower half. advanced studies in contemporary mathematics (kyungshang), vol.20, no.3. pp.457-468,2010.
Mbah, G. C., Iorkua, M., Ngwu, B., & Tivde, T. (2015). A Generalized Mathematical Model for the Aqueous Humour Flow Driven by Temperature Gradient. 34th Annual Conference of NMS, (p. 25). Lagos.
M. veera krishna, k. Bharathi, Ali.j. chamkha, hall effects on MHD peristaltic flow of Jeffrey fluid through porous medium in a vertical stratum, interfacial phenomena and heat transfer, vol.6, no.3, pp.253- 268, 2019.DOI:10.1615/interfacephenomheat Transfer.2019030215.
Peyret, R., & Taylor, T. D. (2011). Computational Methods for Fluid Flow (3rd ed.). New York: Springer.
Reddy.B.S. K, M. Veera krishina, K.V.S.N.Rao, R. Bhuvana vIjiya, HAM solutions on MHD flow of nano-fluid through saturated porous medium with Hall effects, materials Today: proceedings, vol.5, pp,120-131,2018 https://doi.org/10.1016/j.matpr.2017.11.062.
Sonin, A. A. (2001). Equation of Motion for Viscous Fluids (8th ed.). Massachusetts 02139, Cambridge:Massuchusetts Institute of Technology.
Swarnalathamma.B.V., M.Veera Krishna, peristaltic hemodynamic flow of couple stress fluid through a porous medium under the influence of magnetic field with slip effect AIP conference proceedings, vol.1728, p.020603, 2016.DOI:10.1063/1.4946654.
Veera krishna.M., M.Gangadhar Reddy, MHD free convective boundry layer flow through porous medium past a moving vertical plate with heat source and chemeical reaction,material Today:proceedings, vol.5,pp.91-98,2018.https://doi.org/10.1016/j.matpr.2017.11.058.
Veera krishna.M.,G.subba Reddy,MHD Forced convective flow of non -newtonian fluid through stumphy permeable porous medium, Materials today: proceedings, vol.5, pp. 175-183, 2018.https://doi.org/10.1016/j.matpr.2017.11.069.
Veera krishna.m., kamboji jyothi,Hall effects on MHD Rotating flow of a viscous-elastic fluid through a porous medium over an infinite oscillating porous plate with heat source and chemical reaction, materials today: proceedings, vol. 5. pp. 367-380,2018.
Veera krishna.M., B.V. swarnalthamma, connective heat and mass Transfer on MHD peristaltic flow of Williamson fliud with the effect of inclined magnetic field, AIP conference proccedings, vol.1728, p.020461, 2016.DOI:10.1063/1.4946512.
Veerakrishna.M., M. Gangadhar Reddy MHD free convective rotating flow of visco-elastic fluid past an infinite vertical oscillating porous plate with chemical reaction, IOP conf. series: materials science and engineering, vol.149, p.012217,2016DOI:10.1088/1757-899x/149/1/012217.
Veera krishna.M., G. subba Reddy unsteady MHD convective flow of second grade fluid through a porous medium in a rotating parallel plate with chemical reaction, IOP CONF.Series: materials science and engineering, vol.149, p.012216, 2016.DOI:10.1088/1757-899X/149/1/012216.
Veera krishna, M., B.V.Swarnalathamma and j.prak#ash, heat and mass transfer on unsteady MHD oscillatory flow of blood through porous arteriole, applications of fluid Dynamics, lecture notes in mechanical engineering, vol. XXII, pp.207-224, 2018.Doi:10.1007/978-981-10-5329014.
Veera Khrishna M, G subbba Reddy, A. J chamkha, Hall effects on unsteady MHD oscillatory free onvective flow of second grade fluid through porous medium between two vertical plates, Physics of Fluids, vol.30, 023106(2018);doi :https:doi.org/10.1063/1.5010863
Veera Krishna.M, A.J Chamkha, Hall effects on unsteady MHD flow of second grade fluid through porous medium with ramped wall temperature and ramped surface concentration, Physics of Fluids ,053101(2018), doi https://doi.org/10.1063/10.5025542
Veera Krishna.M , K Jyothi, A J Chamkha, Heat and Mass transfer on unsteady, magneradtohydrodynamic, oscillatory flow of second grade fluid through a porous medium between two vertical plates, under the influence of fluctuating heat source /sink, and chemical reaction int.jour. of fluid mech.Res .vol 45, no 5, pp.459-477, 2018b. DOI: 10.1615/interJfluidMechRes.2018024591.
Veera khrishna.M., M. Gangadhara Reddy, A.J. Chanka, Heat and mass transfer on MHD free convective flow over an infinite non-conducting vertical flat porous plate, int.jour.of fluid mech. Res, vol.45, no.5, pp.125,2019 DOI: 10.165/interJFluidmech.res.2018025004.
Veera khrishna.M, K.Jyothi, Heat and mass transfer on MHD rotating flow of a v isco-elastic fluid through porous medium with time dependent oscillatory permeability, J. Anal, vol.27, no.2, pp.1- 19, 2018.https://doi.org/10.1007/s41478-018-0099-0.
Veera khrishna.M,subba Reddy G., Unsteady MHD rotating flow of second grade fluid through porous medium in a rotating parallel plate channel.j. Anal., vol.27, no. 1, pp, 103-120, 2019. https://doi.org/10.1007/s41478-018-0108-3.
Veera krishna.M., B.V.swarmalathamma,Ali.j. Chamkha, heat and mass transfer on magnet hydronamic chemically reacting flow of micro polar fluid through a porous medium with hall effects, special topics & Reviews in porous media- an international journal, vol 9, no. 4, pp.347-364,2018. DOI:10.1615/Special Topics rev porous media.2018024579.
Veera krishna M., M. Gangadhara Reddy, A.J Chankha, heat and mass transfer on MHD Rotating flow of second grade fluid past and infinite vertical plate embedded in uniform porous medium with hall effects, Applied mathematics and scientific computing, trends in mathematics, pp.417-427, 2019.DOI:10.1007/978-3-03001123-9-41.
Veera krishna.M.Ali j.chankha, hall effects on MHD squeezing flow of a water based nano fluid between two parallel disks, journal of porous media, vol.22, no. 2, pp. 209-223, 0019. DOI:10.1615/JPORMEDIA.2018028721.
Veera krishna, M., P.V.S. Anand, Ali,j.chamkha, heat and mass transfer on free convective flow of a micro polar fluid through a porous surface with inclined magnetic field and hall effects, special topics & reviews in porous media-an international journal,vol.10,no.3,pp.203-223. 2019.DOI:10.1615/special topics revporousmedia.2018026943
Veera krishna, M.,Ali.j.chamkha, MHD peristaltic rotating flow of a coupkle stress fluid through a porous medium with wall and slip effects, special topics &reviews in porous media-a international journal,vol. 10, no.3,pp.245-258, 2019 DOI:10.1615/specialtopicsrevporousmedia.2019028609.
Yann, T. D., Kunal, P., Jan, N., Viktor, L., Suchuan, D., & Steven, H. F. (2017, June 3). A Simple and Efficient Incompressible Navier - Stokes Solver for Unsteady Complex Geometry Flows on Truncated Domain. Journal ofComputers and Fluids, 84-94.
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