Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 85, 2024 - Issue 15
55
Views
0
CrossRef citations to date
0
Altmetric
Articles

Theoretical and numerical study of a fluid flow of a slightly rarefied gas-free stream past a moving wall inside a porous medium

Pages 2498-2516 | Received 02 Feb 2023, Accepted 05 Jun 2023, Published online: 26 Jun 2023

References

  • B. Sakiadis, “Boundary layer behaviour on continuous solid surfaces: 1,” AIChE J., vol. 7, no. 1, pp. 26–28, 1961. DOI: 10.1002/aic.690070108.
  • H. Blasius, “Boundary layers in fluids of small viscosity,” Z. Math. Phys., vol. 56, no. 1, pp. 1–37, 1908.
  • L. Crane, “Flow past a stretching plate,” J. Appl. Math. Phys., vol. 21, no. 4, pp. 645–647, 1970. DOI: 10.1007/BF01587695.
  • A. Abu-Sitta, “A note on a certain boundary-layer equation,” Appl. Math. Comput., vol. 64, no. 1, pp. 73–77, 1994. DOI: 10.1016/0096-3003(94)90140-6.
  • H. Weyl, “On the differential equations of the simplest boundary-layer problems,” Ann. Math., vol. 43, no. 2, pp. 381–407, 1942. DOI: 10.2307/1968875.
  • J. Siekman, “The laminar boundary layer along a flat plate,” Z. Flugwiss, vol. 10, pp. 278–281, 1962.
  • J. Klemp and A. Acrivos, “A moving-wall boundary layer with reverse flow,” J. Fluid Mech., vol. 76, no. 2, pp. 363–381, 1976. DOI: 10.1017/S0022112076000670.
  • M. Hussaini, W. Lakin, and A. Nachman, “On similarity solutions of a boundary layer problem with an upstream moving wall,” SIAM J. Appl. Math., vol. 47, no. 4, pp. 699–709, 1987. DOI: 10.1137/0147048.
  • R. Cortell, “Flow and heat transfer in a moving fluid over a moving flat surface,” Theor. Comput. Fluid Dyn., vol. 21, no. 6, pp. 435–446, 2007. DOI: 10.1007/s00162-007-0056-z.
  • A. Mushtaq, M. Mustafa, T. Hayat, and A. Alsaedi, “Boundary layer flow over a moving plate in a flowing fluid considering non-linear radiations,” Int. J. Numer. Methods Heat Fluid Flow, vol. 26, no. 5, pp. 1617–1630, 2016. DOI: 10.1108/HFF-12-2014-0365.
  • P. Cheng and W. Minkowycz, “Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike,” J. Geophys. Res., vol. 82, no. 14, pp. 2040–2044, 1977. DOI: 10.1029/JB082i014p02040.
  • P. Weidman, D. Kubitschek, and A. Davis, “The effect of transpiration on self-similar boundary layer flow over moving surfaces,” Int. J. Eng. Sci., vol. 44, no. 11–12, pp. 730–737, 2006. DOI: 10.1016/j.ijengsci.2006.04.005.
  • M. Durairaj, S. Ramachandran, and R. Mehdi, “Heat generating/absorbing and chemically reacting casson fluid flow over a vertical cone and flat plate saturated with non-Darcy porous medium,” HFF., vol. 27, no. 1, pp. 156–173, 2017. DOI: 10.1108/HFF-08-2015-0318.
  • G. A. Bird, “Molecular gas dynamics and the direct simulation of gas flows,” in Molecular Gas Dynamics Direct Simulation Gas Flows, 1994.
  • T. Fang and F. Chia-Fon, “A moving-wall boundary layer flow of a slightly rarefied gas free stream over a moving flat plate,” Appl. Math. Lett., vol. 18, no. 5, pp. 487–495, 2005. DOI: 10.1016/j.aml.2004.08.006.
  • K. Bhattacharyya, S. Mukhopadhyay, and G. Layek, “Steady boundary layer slip flow and heat transfer over a flat porous plate embedded in a porous media,” J. Pet. Sci. Eng., vol. 78, no. 2, pp. 304–309, 2011. DOI: 10.1016/j.petrol.2011.06.009.
  • K. Xu, Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes, vol. 4. World Scientific, 2014.
  • Y. Wang, S. Liu, C. Zhuo, and C. Zhong, “Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical systems,” Comput. Math. Appl., vol. 114, pp. 188–209, 2022. DOI: 10.1016/j.camwa.2022.03.045.
  • F. Akyildiz, S. Tatar, and S. Ulusoy, “Existence and uniqueness for a nonlinear inverse reaction-diffusion problem with a nonlinear source in higher dimensions,” Math. Meth. Appl. Sci., vol. 36, no. 17, pp. 2397–2402, 2013. DOI: 10.1002/mma.2765.
  • B. Brighi, “The equation f‴+ff″+g(f′)=0 and the associated boundary value problems,” Res. Math., vol. 61, no. 3–4, pp. 355–391, 2012. DOI: 10.1007/s00025-011-0122-0.
  • J. Paullet, “Analysis of fluid flow and heat transfer over an unsteady stretching surface,” Nonlinear Anal.: Theory Methods Appl., vol. 75, no. 10, pp. 4079–4089, 2012. DOI: 10.1016/j.na.2012.02.024.
  • J. Paullet, “Analysis of stagnation point flow of an upper-convected Maxwell fluid,” Electron. J. Differ. Equ., vol. 2017, no. 302, pp. 1–14, 2017.
  • M. Kwong, “The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE,” Electron. J. Qual. Theory Differ. Equ., vol. 2006, no. 6, pp. 1–14, 2006.
  • P. Samanta and C. S. Rao, “Existence and uniqueness of a non-negative monotonic solution of a nonlinear ordinary differential equation,” Differ. Equ. Dyn. Syst., vol. 30, no. 4, pp. 957–968, 2022. DOI: 10.1007/s12591-019-00483-x.
  • S. Hastings and J. McLeod, “Classical methods in ordinary differential equations: With applications to boundary value problems,” American Mathematical Society, vol. 129, 2011.
  • B. Šarler et al., “Haar wavelet collocation method for the numerical solution of boundary layer fluid flow problems,” Int. J. Ther. Sci., vol. 50, no. 5, pp. 686–697, 2011. DOI: 10.1016/j.ijthermalsci.2010.11.017.
  • H. Karkera, N. N. Katagi, and R. B. Kudenatti, “Analysis of general unified MHD boundary-layer flow of a viscous fluid-a novel numerical approach through wavelets,” Math. Comput. Simul., vol. 168, pp. 135–154, 2020. DOI: 10.1016/j.matcom.2019.08.004.
  • V. B. Awati, M. Kumar, and A. Wakif, “Haar wavelet scrutinization of heat and mass transfer features during the convective boundary layer flow of a nanofluid moving over a nonlinearly stretching sheet,” Partial Differ. Equ. Appl. Math., vol. 4, pp. 100192, 2021. DOI: 10.1016/j.padiff.2021.100192.
  • M. Martin and I. Boyd, “Momentum and heat transfer in a laminar boundary layer with slip flow,” J. Thermophys. Heat Transf., vol. 20, no. 4, pp. 710–719, 2006. DOI: 10.2514/1.22968.

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.