Abo Bibliothek: Guest

Free Convection from a Horizontal Surface in a Porous Medium with Newtonian Heating

Volumen 3, Ausgabe 3, 2000, 9 pages
DOI: 10.1615/JPorMedia.v3.i3.40
Get accessGet access

ABSTRAKT

A very effective solution method is proposed to solve the steady free convection boundary-layer flow on a horizontal surface embedded in a porous medium in which the flow is generated by Newtonian heating. Asymptotic solutions, which are valid for small and large values of x, the coordinate along the plate, as well as a very accurate numerical solution of the full governing equations that matches the asymptotic solutions have been obtained It is found that for small values of x the first-order flow is driven by a constant heat flux from the surface, and the higher order terms are then perturbations of the standard uniform heat flux solution, which is the same behavior seen in the corresponding conjugate problem. However, there is an essential difference between the present situation and the conjugate problem when the solution far downstream is considered. For the conjugate problem, the flow far downstream approaches the standard isothermal wall solution, whereas in the present situation, the flow far downstream at large values of x gives rise to a new similarity solution in which the wall fluid velocity and temperature are almost linear and quadratic functions of x, respectively.

REFERENZIERT VON
  1. Salleh M. Z., Nazar R., Pop I., Modeling of Free Convection Boundary Layer Flow on a Solid Sphere with Newtonian Heating, Acta Applicandae Mathematicae, 112, 3, 2010. Crossref

  2. Chaudhary R. C., Jain Preeti, An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with newtonian heating, Journal of Engineering Physics and Thermophysics, 80, 5, 2007. Crossref

  3. Salleh Mohd Zuki, Nazar Roslinda, Pop Ioan, Mixed convection boundary layer flow over a horizontal circular cylinder with Newtonian heating, Heat and Mass Transfer, 46, 11-12, 2010. Crossref

  4. Afify A. A., Uddin M. J., Ferdows M., Scaling group transformation for MHD boundary layer flow over permeable stretching sheet in presence of slip flow with Newtonian heating effects, Applied Mathematics and Mechanics, 35, 11, 2014. Crossref

  5. Hayat T., Iqbal Z., Mustafa M., Flow of a Second Grade Fluid over a Stretching Surface with Newtonian Heating, Journal of Mechanics, 28, 1, 2012. Crossref

  6. Rajesh V., Effects of mass transfer on flow past an impulsively started infinite vertical plate with Newtonian heating and chemical reaction, Journal of Engineering Physics and Thermophysics, 85, 1, 2012. Crossref

  7. Salleh M. Z., Nazar R., Pop I., FORCED CONVECTION BOUNDARY LAYER FLOW AT A FORWARD STAGNATION POINT WITH NEWTONIAN HEATING, Chemical Engineering Communications, 196, 9, 2009. Crossref

  8. Nemati H., Bararnia H., Noori F., Barari A., Famouri M., Rouhani V., Boundary Layer Flows in Porous Media with Lateral Mass Flux, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 37, 9, 2015. Crossref

  9. Cheng Ching-Yang, Natural convection heat transfer of non-Newtonian fluids in porous media from a vertical cone under mixed thermal boundary conditions, International Communications in Heat and Mass Transfer, 36, 7, 2009. Crossref

  10. Cimpean Dalia Sabina, Pop Ioan, Fully developed mixed convection flow of a nanofluid through an inclined channel filled with a porous medium, International Journal of Heat and Mass Transfer, 55, 4, 2012. Crossref

  11. Patil P.M., Anilkumar D., Roy S., Unsteady thermal radiation mixed convection flow from a moving vertical plate in a parallel free stream: Effect of Newtonian heating, International Journal of Heat and Mass Transfer, 62, 2013. Crossref

  12. Salleh M.Z., Nazar R., Pop I., Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating, Journal of the Taiwan Institute of Chemical Engineers, 41, 6, 2010. Crossref

  13. Akbar Noreen Sher, Khan Z.H., Influence of magnetic field for metachoronical beating of cilia for nanofluid with Newtonian heating, Journal of Magnetism and Magnetic Materials, 381, 2015. Crossref

  14. Goldstein R.J., Eckert E.R.G., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Bar-Cohen A., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Heat transfer – a review of 2000 literature, International Journal of Heat and Mass Transfer, 45, 14, 2002. Crossref

  15. Hussanan Abid, Ismail Zulkhibri, Khan Ilyas, Hussein Atheer G., Shafie Sharidan, Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating, The European Physical Journal Plus, 129, 3, 2014. Crossref

  16. Nazar Roslinda, Arifin Norihan M., Pop Ioan, Free convection boundary layer flow over vertical and horizontal flat plates embedded in a porous medium under mixed thermal boundary conditions, International Communications in Heat and Mass Transfer, 33, 1, 2006. Crossref

  17. Rajesh V., J. Chamkha Ali, Unsteady convective flow past an exponentially accelerated infinite vertical porous plate with Newtonian heating and viscous dissipation, International Journal of Numerical Methods for Heat & Fluid Flow, 24, 5, 2014. Crossref

  18. Fetecau Constatin, Ali Shah Nehad, Vieru Dumitru, General Solutions for Hydromagnetic Free Convection Flow over an Infinite Plate with Newtonian Heating, Mass Diffusion and Chemical Reaction, Communications in Theoretical Physics, 68, 6, 2017. Crossref

  19. Khan Waqar A, Uddin Mohammad J, Ismail Ahmad I, Effects of radiation on Blasius slip flow of oxide nanofluids with Merkin boundary condition, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 227, 1, 2013. Crossref

  20. Nield Donald A., Bejan Adrian, External Natural Convection, in Convection in Porous Media, 2017. Crossref

  21. Naseem Faiza, Shafiq Anum, Zhao Lifeng, Naseem Anum, MHD biconvective flow of Powell Eyring nanofluid over stretched surface, AIP Advances, 7, 6, 2017. Crossref

  22. Qayyum Sajid, Hayat Tasawar, Shehzad Sabir Ali, Alsaedi Ahmed, Nonlinear convective flow of Powell-Erying magneto nanofluid with Newtonian heating, Results in Physics, 7, 2017. Crossref

  23. Qayyum Sajid, Hayat Tasawar, Alsaedi Ahmed, Ahmad Bashir, MHD nonlinear convective flow of thixotropic nanofluid with chemical reaction and Newtonian heat and mass conditions, Results in Physics, 7, 2017. Crossref

  24. Rushi Kumar B, Jayakar R, Vijay Kumar A G, Variable mass diffusion effects on free convection flow past an impulsively started infinite vertical plate, IOP Conference Series: Materials Science and Engineering, 263, 2017. Crossref

  25. Qayyum Sajid, Hayat Tasawar, Alsaedi Ahmed, Thermal radiation and heat generation/absorption aspects in third grade magneto-nanofluid over a slendering stretching sheet with Newtonian conditions, Physica B: Condensed Matter, 537, 2018. Crossref

  26. Bhuvaneswari M., Sivasankaran S., Convective Mass and Heat Transfer of a Chemically Reacting Fluid in a Porous Medium with Cross Diffusion Effects and Convective Boundary, in Flow and Transport in Subsurface Environment, 2018. Crossref

  27. Nield Donald A., Bejan Adrian, External Natural Convection, in Convection in Porous Media, 2013. Crossref

  28. Narahari M., Dutta Binay K., EFFECTS OF THERMAL RADIATION AND MASS DIFFUSION ON FREE CONVECTION FLOW NEAR A VERTICAL PLATE WITH NEWTONIAN HEATING, Chemical Engineering Communications, 199, 5, 2012. Crossref

  29. Ahmad Shafiq, Nadeem Sohail, Application of CNT-based micropolar hybrid nanofluid flow in the presence of Newtonian heating, Applied Nanoscience, 10, 12, 2020. Crossref

  30. Anurag , Singh A. K., Chandran P., Sacheti N. C., Effect of Newtonian heating/cooling on free convection in an annular permeable region in the presence of heat source/sink, Heat Transfer, 50, 1, 2021. Crossref

  31. PRABHAKAR REDDY B, EFFECT OF HALL CURRENT ON RADIATING HYDROMAGNETIC FLOW PAST AN IMPULSIVELY MOVING VERTICAL POROUS PLATE WITH NEWTONIAN HEATING, i-manager’s Journal on Future Engineering and Technology, 15, 3, 2020. Crossref

  32. Prabhakar Reddy B., Sademaki L. Joseph, Engler Hans, A Numerical Study on Newtonian Heating Effect on Heat Absorbing MHD Casson Flow of Dissipative Fluid past an Oscillating Vertical Porous Plate, International Journal of Mathematics and Mathematical Sciences, 2022, 2022. Crossref

  33. Reddy B. Prabhakar, Makinde O. D., Newtonian Heating Effect on Heat Absorbing Unsteady MHD Radiating and Chemically Reacting Free Convection Flow Past an Oscillating Vertical Porous Plate, International Journal of Applied Mechanics and Engineering, 27, 1, 2022. Crossref

  34. Hari Babu B., Heat and mass transfer on unsteady MHD Casson fluid flow past an infinite vertical porous plate with chemical reaction, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2022. Crossref

Zukünftige Artikel

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen Preise und Aborichtlinien Begell House Kontakt Language English 中文 Русский Português German French Spain