Top

Neural Computing and Applications

Published in:

10-05-2017 | Original Article

On non-Fourier flux in nonlinear stretching flow of hyperbolic tangent material

Authors: M. Waqas, Gulnaz Bashir, T. Hayat, A. Alsaedi

Published in: Neural Computing and Applications | Special Issue 1/2019

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The present study explores the features of hyperbolic tangent material due to a nonlinear stretched sheet with variable sheet thickness. Non-Fourier flux theory is implemented for the development of energy expression. Such consideration accounts for the contribution by thermal relaxation. The resulting nonlinear differential system has been determined for the convergent series expressions of velocity and temperature. The solutions are demonstrated and analyzed through plots. Presented results indicate that velocity decays via larger material power law index and Weissenberg number. Temperature is the decreasing function of Prandtl number and thermal relaxation time.

previous article Control of unmanned agricultural vehicles using neural network-based control system

next article Pose-invariant features and personalized correspondence learning for face recognition

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Cattaneo C (1948) Sulla conduzione del calore, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 3:83–101

Christov CI (2009) On frame indifferent formulation of the Maxwell-Cattaneo model of finite speed heat conduction. Mech Res Commun 36:481–486MathSciNetCrossRefMATH

Straughan B (2010) Thermal convection with the Cattaneo-Christov model. Int J Heat Mass Transf 53:95–98CrossRefMATH

Tibullo V, Zampoli V (2011) A uniqueness result for the Cattaneo-Christov heat conduction model applied to incompressible fluids. Mech Res Commun 38:77–99CrossRefMATH

Han S, Zheng L, Li C, Zhang X (2014) Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model. Appl Math Lett 38:87–93MathSciNetCrossRefMATH

Hayat T, Khan MI, Farooq M, Alsaedi A, Khan MI (2017) Thermally stratified stretching flow with Cattaneo-Christov heat flux. Int J Heat Mass Transf 106:289–294CrossRef

Hayat T, Waqas M, Shehzad SA, Alsaedi A (2016) On 2D stratified flow of an Oldroyd-B fluid with chemical reaction: an application of non-Fourier heat flux theory. J Mol Liq 223:566–571CrossRef

Hayat T, Zubair M, Ayub M, Waqas M, Alsaedi A (2016) Stagnation point flow towards nonlinear stretching surface with Cattaneo-Christov heat flux. Eur Phys J Plus 131:355CrossRef

Kreiss HO, Nagy GB, OEO O, Reula A (1997) Global existence and exponential decay for hyperbolic dissipative relativistic fluid theories. J Math Phys 38:5272–5279MathSciNetCrossRefMATH

10.

Jyothi B, Rao PK (2013) Influence of magnetic field on hyperbolic tangent fluid through a porous medium in a planar channel with peristalsis. Int J Mathematical archive 4:171–182

11.

Kothandapani M Prakash J (2014) Influence of heat source, thermal radiation and inclined magnetic field on peristaltic flow of hyperbolic tangent nanofluid in a tapered asymmetric channel. IEEE Trans Nanobioscience DOI: 10.1109/TNB.2363673.

12.

Akbar NS, Nadeem S, Haq RU, Khan ZH (2013) Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet. Indian J Phys 87:1121–1124CrossRef

13.

Hayat T, Qayyum S, Alsaedi A, Waqas M (2016) Radiative flow of a tangent hyperbolic fluid with convective conditions and chemical reaction. Eur Phys J Plus 131:422CrossRef

14.

Salahuddin T, Malik MY, Hussain A, Bilal S, Awais M (2015) Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity. AIP Adv 5:127103CrossRef

15.

Khan MI Hayat T Waqas M Alsaedi A (2017) Outcome for chemically reactive aspect in flow of tangent hyperbolic material. J Mol Liq DOI: 10.1016/j.molliq.2017.01.016.

16.

Hayat T, Waqas M, Alsaedi A, Bashir G, Alzahrani F (2017) Magnetohydrodynamic (MHD) stretched flow of tangent hyperbolic nanoliquid with variable thickness. J Mol Liq 229:178–184CrossRef

17.

Sakiadis BC (1961) Boundary-layer behavior on continuous solid surface: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AICHE J 7:26–28CrossRef

18.

Crane LJ (1970) Flow past a stretching plane. J Appl Math Phys 21:645–647

19.

Turkyilmazoglu M (2016) Equivalences and correspondences between the deforming body induced flow and heat in two-three dimensions. Physics Fluids 28:043102CrossRef

20.

Ramzan M, Bilal M, Chung JD, Farooq U (2016) Mixed convective flow of Maxwell nanofluid past a porous vertical stretched surface—an optimal solution. Results Physics 6:1072–1079CrossRef

21.

Turkyilmazoglu M (2016) Flow of a micropolar fluid due to a porous stretching sheet and heat transfer. Int J Non-Linear Mech 83:59–64CrossRef

22.

Hayat T, Khan MI, Waqas M, Alsaedi A (2017) Mathematical modeling of non-Newtonian fluid with chemical aspects: a new formulation and results by numerical technique. Colloids Surfaces A: Physicochem Eng Aspects 518:263–272CrossRef

23.

Hayat T, Anwar MS, Farooq M, Alsaedi A (2015) Mixed convection flow of viscoelastic fluid by a stretching cylinder with heat transfer. PLoS One 10:e0118815CrossRef

24.

Pal D, Chatterjee S Soret and Dufour effects on MHD convective heat and mass transfer of a power-law fluid over an inclined plate with variable thermal conductivity in a porous medium, Appl Math Comput 219: 7556–7574.

25.

Vajravelu K, Prasad KV, Ng C (2013) Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties. Nonlinear Anal Real World Appl 14:455–464MathSciNetCrossRef

26.

Hayat T, Waqas M, Shehzad SA, Alsaedi A (2016) Mixed convection flow of viscoelastic nanofluid by a cylinder with variable thermal conductivity and heat source/sink. Int J Numer Methods Heat Fluid Flow 26:214–234MathSciNetCrossRefMATH

27.

Hayat T, Khan MI, Farooq M, Alsaedi A, Waqas M, Yasmeen T (2016) Impact of Cattaneo--Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface. Int J Heat Mass Transf 99:702–710CrossRef

28.

Umavathi JC, Sheremet MA, Mohiuddin S (2016) Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction. Eur J Mech B/Fluids 58:98–108MathSciNetCrossRefMATH

29.

Salawu SO, Dada MS (2016) Radiative heat transfer of variable viscosity and thermal conductivity effects on inclined magnetic field with dissipation in a non-Darcy medium. J Nigerian Math Soc 35:93–106MathSciNetCrossRefMATH

30.

Waqas M, Hayat T, Farooq M, Shehzad SA, Alsaedi A (2016) Cattaneo-Christov heat flux model for flow of variable thermal conductivity generalized Burgers fluid. J Mol Liq 220:642–648CrossRef

31.

Animasaun IL (2015) Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and image order of chemical reaction. J Nigerian Math Soc 34:11–31MathSciNetCrossRefMATH

32.

Animasaun IL, Sandeep N (2016) Buoyancy induced model for the flow of 36 nm alumina-water nanofluid along upper horizontal surface of a paraboloid of revolution with variable thermal conductivity and viscosity. Powder Techn 301:858–867CrossRef

33.

Turkyilmazoglu M (2010) An optimal analytic approximate solution for the limit cycle of Duffing-van der Pol equation. J Appl Mech Trans ASME 78:021005CrossRef

34.

Turkyilmazoglu M (2012) Solution of Thomas-Fermi equation with a convergent approach. Commun Nonlin Sci Numer Simul 17:4097–4103MathSciNetCrossRefMATH

35.

Zheng L, Zhang C, Zhang X, Zhang J (2013) Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium. J Frankl Inst 350:990–1007MathSciNetCrossRefMATH

36.

Turkyilmazoglu M (2016) An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method. Filomat 30:1633–1650MathSciNetCrossRefMATH

37.

Hayat T, Khan MI, Waqas M, Alsaedi A (2017) Newtonian heating effect in nanofluid flow by a permeable cylinder. Res Physics 7:256–262

38.

Hayat T, Waqas M, Khan MI, Alsaedi A (2016) Analysis of thixotropic nanomaterial in a doubly stratified medium considering magnetic field effects. Int J Heat Mass Transf 102:1123–1129CrossRef

39.

Sui J, Zheng L, Zhang X, Chen G (2015) Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. Int. J Heat Mass Transf 85:1023–1033CrossRef

40.

Khan WA, Khan M, Alshomrani AS (2016) Impact of chemical processes on 3D Burgers fluid utilizing Cattaneo-Christov double-diffusion: applications of non-Fourier’s heat and non-Fick's mass flux models. J Mol Liq 223:1039–1047CrossRef

41.

Hayat T, Ullah I, Muhammad T, Alsaedi A (2016) Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface. J Mol Liq 220:1004–1012CrossRef

42.

Waqas M, Farooq M, Khan MI, Alsaedi A, Hayat T, Yasmeen T (2016) Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition. Int J Heat Mass Transf 102:766–772CrossRef

43.

Hayat T, Hussain Z, Alsaedi A, Mustafa M (2017) Nanofluid flow through a porous space with convective conditions and heterogeneous--homogeneous reactions. J Taiwan Inst Chem Eng 70:119–126CrossRef

44.

Turkyilmazoglu M (2016) Determination of the correct range of physical parameters in the approximate analytical solutions of nonlinear equations using the Adomian decomposition method. Medit J Math 13:4019–4037MathSciNetCrossRefMATH

45.

Makinde OD, Aziz A (2011) Boundary layer flow of nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci 50:1326–1332CrossRef

Title: On non-Fourier flux in nonlinear stretching flow of hyperbolic tangent material
Authors: M. Waqas
Gulnaz Bashir
T. Hayat
A. Alsaedi
Publication date: 10-05-2017
Publisher: Springer London
Published in: Neural Computing and Applications / Issue Special Issue 1/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-017-3016-6

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Other articles of this Special Issue 1/2019

Research on mining collaborative behaviour patterns of dynamic supply chain network from the perspective of big data

Optimization of site selection for construction and demolition waste recycling plant using genetic algorithm

Control of unmanned agricultural vehicles using neural network-based control system

A spheres-based support vector machine for pattern classification

An efficient top-k ranking method for service selection based on ε-ADMOPSO algorithm

Jointly network: a network based on CNN and RBM for gesture recognition

Premium Partner