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http://dx.doi.org/10.1016/j.net.2018.01.021

A frame work for heat generation/absorption and modified homogeneous-heterogeneous reaction in flow based on non-Darcy-Forchheimer medium  

Hayat, Tasawar (Department of Mathematics, Quaid-I-Azam University)
Ahmad, Salman (Department of Mathematics, Quaid-I-Azam University)
Khan, Muhammad I. (Department of Mathematics, Quaid-I-Azam University)
Khan, Muhammad I. (Heriot Watt University, Edinburgh Campus, Edinburgh EH14 4AS, Faculty of Engineering)
Alsaedi, Ahmed (NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University)
Publication Information
Nuclear Engineering and Technology / v.50, no.3, 2018 , pp. 389-395 More about this Journal
Abstract
The present work aims to report the consequences of Darcy-Forchheimer medium in flow of Cross fluid model toward a stretched surface. Flow in porous space is categorized by Darcy-Forchheimer medium. Further heat transfer characteristics are examined via thermal radiation and heat generation/absorption. Transformation procedure is used. The arising system of nonlinear ordinary differential equations is solved numerically by means of shooting method. The effects of different flow variables on velocity, temperature, concentration, skin friction, and heat transfer rate are discussed. The obtained outcomes show that velocity was enhanced with the increase in the Weissenberg number but decays with increase in the porosity parameter and Hartman number. Temperature field is boosted by thermal radiation and heat generation; however, it decays with the increase in the Prandtl number.
Keywords
Cross Fluid; Heat Generation/Absorption; Homogeneous-Heterogeneous Reactions; Non-Darcy-Forchheimer Medium; Thermal Radiation;
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1 M.I. Khan, T. Hayat, M.I. Khan, A. Alsaedi, Activation energy impact in nonlinear radiative stagnation point flow of Cross fluid, Int. Commun. Heat Mass Transf. 91 (2018) 216-224.   DOI
2 T. Hayat, S. Ahmad, M.I. Khan, A. Alsaedi, Exploring magnetic dipole contribution on radiative flow of ferromagnetic Williamson fluid, Results Phys. 8 (2018) 545-551.   DOI
3 M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, Magneto-hydrodynamical numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface, Phys. Chem. Liq. (2017), https://doi.org/10.1080/00319104.2017.1367791.
4 I.L. Animasaun, C.S.K. Raju, N. Sandeep, Unequal diffusivities case of homogeneous-heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation, Alex. Eng. J. 55 (2016) 1595-1606.   DOI
5 S. Qayyum, M.I. Khan, T. Hayat, A. Alsaedi, A framework for nonlinear thermal radiation and homogeneous-heterogeneous reactions flow based on silverwater and copper-water nanoparticles: a numerical model for probable error, Results Phys. 7 (2017) 1907-1914.   DOI
6 R. Kumar, S. Sood, M. Sheikholeslami, S.A. Shehzad, Nonlinear thermal radiation and cubic autocatalysis chemical reaction effects on the flow of stretched nanofluid under rotational oscillations, J. Colloid Sci. 505 (2017) 253-265.   DOI
7 M.I. Khan, M. Waqas, T. Hayat, M.I. Khan, A. Alsaedi, Numerical simulation of nonlinear thermal radiation and homogeneous-heterogeneous reactions in convective flow by a variable thicked surface, J. Mol. Liq. 246 (2017) 259-267.   DOI
8 G.T. Thammanna, K.G. Kumar, B.J. Gireesha, G.K. Ramesh, B.C. Prasannakumara, Three dimensional MHD flow of couple stress Casson fluid past an unsteady stretching surface with chemical reaction, Results Phys. 7 (2017) 4104-4110.   DOI
9 T. Hayat, M.I. Khan, M. Farooq, T. Yasmeen, A. Alsaedi, Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions, J. Mol. Liq. 220 (2016) 49-55.   DOI
10 B.C. Prasannakumara, B.J. Gireesha, M.R. Krishnamurthy, K.G. Kumar, MHD flow and nonlinear radiative heat transfer of Sisko nanofluid over a nonlinear stretching sheet, Inform. Med. Unlocked 9 (2017) 123-132.   DOI
11 K.G. Kumar, B.J. Gireesha, B.C. Prasannakumara, G.K. Ramesh, O.D. Makinde, Phenomenon of radiation and viscous dissipation on Casson nanoliquid flow past a moving melting surface, Diffus. Found. 11 (2017) 33-42.   DOI
12 K.G. Kumar, B.J. Gireesha, B.C. Prasannakumara, O.D. Makinde, Impact of chemical reaction on Marangoni boundary layer flow of a Casson nano liquid in the presence of uniform heat source sink, Diffus. Found. 11 (2017) 22-32.   DOI
13 M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, Significance of nonlinear radiation in mixed convection flow of magneto Walter-B nanoliquid, Int. J. Hydrogen Energy 42 (2017) 26408-26416.   DOI
14 T. Hayat, S. Ahmad, M.I. Khan, A. Alsaedi, Non-Darcy Forchheimer flow of ferromagnetic second grade fluid, Results Phys. 7 (2017) 3419-3424.   DOI
15 K.G. Kumar, B.J. Gireesha, M.R. Krishnamurthy, B.C. Prasannakumara, Impact of convective condition on Marangoni convection flow and heat transfer in Casson nanofluid with uniform heat source sink, J. Nanofluids 7 (1) (2017) 108-114.
16 T. Hayat, M.I. Khan, M. Farooq, A. Alsaedi, M. Waqas, T. Yasmeen, Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface, Int. J. Heat Mass Transf. 99 (2016) 702-710.   DOI
17 M. Ramzan, J.D. Chung, N. Ullah, Radiative magnetohydrodynamic nanofluid flow due to gyrotactic microorganisms with chemical reaction and non-linear thermal radiation, Int. J. Mech. Sci. 130 (2017) 31-40.   DOI
18 O.D. Makinde, I.L. Animasaun, Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution, J. Mol. Liq. 221 (2016) 733-743.   DOI
19 P. Forchhiemer, Wasserbewewegung durch Boden, Z. Ver. D. Ing. 45 (1901) 1781.
20 T. Hayat, Z. Hussain, B. Ahmed, A. Alsaedi, Base fluids with CNTs as nanoparticles through non-Darcy porous medium in convectively heated flow: a comparative study, Adv. Powder Tech. 28 (2017) 1855-1865.   DOI
21 T. Hayat, F. Shah, A. Alsaedi, M.I. Khan, Development of homogeneous/heterogeneous reaction in flow based through non-Darcy Forchheimer medium, J. Theor. Comput. Chem. 16 (2017), 1750045.   DOI
22 M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, A comparative study of Casson fluid with homogeneous-heterogeneous reactions, J. Colloid Sci. 498 (2017) 85-90.   DOI
23 M.M. Cross, Rheology of non-Newtonian fluids: a new flow equation for pseudoplastic systems, J. Colloid Sci. 20 (1965) 417-437.   DOI
24 T. Hayat, S. Ullah, M.I. Khan, A. Alsaedi, On framing potential features of SWCNTs and MWCNTs in mixed convective flow, Results Phys. 8 (2018) 357-364.   DOI
25 T. Hayat, M.I. Khan, M. Tamoor, M. Waqas, A. Alsaedi, Numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface, Res. Phys. 7 (2017) 1824-1827.
26 T. Hayat, M.I. Khan, S. Qayyum, A. Alsaedi, Modern developments about statistical declaration and probable error for skin fraction and Nusselt number with copper and silver nanoparticles, Chinese J. Phys. 55 (2017) 2501-2513.   DOI
27 T. Hayat, S. Ahmad, M.I. Khan, A. Alsaedi, Simulation of ferromagnetic nanomaterial flow of Maxwell fluid, Results Phys. 8 (2018) 34-40.   DOI
28 M.J. Babu, N. Sandeep, UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects, J. Mol. Liq. 232 (2017) 27-35.   DOI