1
|
Nadeem M, Siddique I, Riaz Z, Makhdoum BM, Zulqarnain RM, Sallah M. Numerical study of unsteady tangent hyperbolic fuzzy hybrid nanofluid over an exponentially stretching surface. Sci Rep 2023; 13:15551. [PMID: 37730700 PMCID: PMC10511460 DOI: 10.1038/s41598-023-32374-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2022] [Accepted: 03/27/2023] [Indexed: 09/22/2023] Open
Abstract
The significance of fuzzy volume percentage on the unsteady flow of MHD tangent hyperbolic fuzzy hybrid nanofluid towards an exponentially stretched surface is scrutinized. The heat transport mechanism is classified by Joule heating, nonlinear thermal radiation, boundary slippage, and convective circumstances. Ethylene glycol (EG) as a host fluid along with the nanomaterial's Cu and [Formula: see text] are used for heat transfer analysis is also considered in this investigation. The nonlinear governing PDEs are meant to be converted into ODEs employing appropriate renovations. Then, a built-in MATLAB program bvp4c is employed to acquire the outcome of the given problem. The variation of flow rate, thermal heat, drag force and Nusselt number and their influence on fluid flow with heat transfer have been scrutinized through graphs. An increase in thermal radiation, power law index and nanoparticle volume friction heightens the heat transmission rate. Skin friction is diminished by swelling the power-law index, Weissenberg number, and ratio parameters, whereas it is increased by enhancing the magnetic parameter. The heat transfer rate upsurges with an increase in Weissenberg number and nanoparticle volume fraction. Also, the nanoparticle volume percentage is expressed as a triangular fuzzy number (TFN). The triangular membership function (MF) and TFN are regulated by the [Formula: see text] parameter, which has a range of 0 to 1. In comparison to nanofluids, hybrid nanofluids have a higher heat transmission rate, according to the fuzzy analysis. This investigation has applications in the areas of paper manufacturing, metal sheet cooling and crystal growth.
Collapse
Affiliation(s)
- Muhammad Nadeem
- Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
| | - Imran Siddique
- Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
| | - Zakara Riaz
- Department of Mathematics, The University of Chenab, Gujrat, 50700, Pakistan
| | - Basim M Makhdoum
- Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah, 21955, Saudi Arabia
| | | | - Mohammed Sallah
- Applied Mathematical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.
- Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia.
| |
Collapse
|
2
|
Faisal M, Ahmad I, Javed T. Dynamics of MHD tangent hyperbolic nanofluid with prescribed thermal conditions, random motion and thermo-migration of nanoparticles. J DISPER SCI TECHNOL 2021. [DOI: 10.1080/01932691.2021.1931291] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Muhammad Faisal
- Department of Mathematics, Azad Jammu & Kashmir University, Muzaffarabad, Pakistan
| | - Iftikhar Ahmad
- Department of Mathematics, Azad Jammu & Kashmir University, Muzaffarabad, Pakistan
| | - Tariq Javed
- Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
| |
Collapse
|
3
|
Das M, Nandi S, Kumbhakar B, Shanker Seth G. Soret and Dufour Effects on MHD Nonlinear Convective Flow of Tangent Hyperbolic Nanofluid Over a Bidirectional Stretching Sheet with Multiple Slips. JOURNAL OF NANOFLUIDS 2021. [DOI: 10.1166/jon.2021.1784] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
The purpose of the present analysis is to investigate the Soret and Dufour effects on steady and incompressible MHD nonlinear convective flow of tangent hyperbolic nanofluid over a permeable stretching surface with multiple slip conditions at the wall. Also, nonlinearly varying thermal
radiation, heat generation and chemical reaction along with a vanishing nanoparticle mass flux condition at the surface are taken into account. Further, Rosseland’s approximation for an optically thick and grey medium is used to approximate heat flux due to radiation. Suitable similarity
transformations are employed to transform governing PDEs into a system of ODEs. The resulting nonlinear equations are then solved numerically using the shooting technique based on the Runge-Kutta Cash-Karp method. The upshots of various physical parameters on velocity, temperature and concentration
distributions are illustrated and displayed through figures. The variations in coefficients of local skin friction, Nusselt and Sherwood numbers are explained and presented in tabular form. The obtained results are validated with the previously reported results for a particular case of the
present fluid flow problem, and an outstanding correlation is noticed from the comparison. Graphical results reveal that the nonlinear convection parameters for both temperature and concentration accelerate the primary flow. However, the Dufour number diminishes the fluid temperature near
the wall, and the Soret number uplifts the concentration profile within the boundary layer.
Collapse
Affiliation(s)
- Manik Das
- Department of Mathematics, National Institute of Technology Meghalaya, Shillong 793003, India
| | - Susmay Nandi
- Department of Mathematics, National Institute of Technology Meghalaya, Shillong 793003, India
| | - Bidyasagar Kumbhakar
- Department of Mathematics, National Institute of Technology Meghalaya, Shillong 793003, India
| | - Gauri Shanker Seth
- Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India
| |
Collapse
|
4
|
Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy. MATHEMATICS 2020. [DOI: 10.3390/math9010025] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ϵ, and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ϵ, Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω, and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.
Collapse
|
5
|
Ramzan M, Gul H, Chung JD, Kadry S, Chu YM. Significance of Hall effect and Ion slip in a three-dimensional bioconvective Tangent hyperbolic nanofluid flow subject to Arrhenius activation energy. Sci Rep 2020; 10:18342. [PMID: 33110093 PMCID: PMC7591580 DOI: 10.1038/s41598-020-73365-w] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2020] [Accepted: 09/11/2020] [Indexed: 11/28/2022] Open
Abstract
The dynamics of partially ionized fluid flow subjected to the magnetic field are altogether distinct in comparison to the flow of natural fluids. Fewer studies are available in the literature discussing the alluring characteristics of the Hall effect and the Ion slip in nanofluid flows. Nevertheless, the flow of nanofluid flow with Hall and Ion slip effect integrated with activation energy, gyrotactic microorganisms, and Cattaneo-Christov heat flux is still scarce. To fill in this gap, our aim here is to examine the three dimensional electrically conducting Tangent hyperbolic bioconvective nanofluid flow with Hall and Ion slip under the influence of magnetic field and heat transmission phenomenon past a stretching sheet. Impacts of Cattaneo-Christov heat flux, Arrhenius activation energy, and chemical reaction are also considered here. For the conversion of a non-linear system to an ordinary one, pertinent transformations procedure is implemented. By using the bvp4c MATLAB function, these equations with the boundary conditions are worked out numerically. The significant impacts of prominent parameters on velocity, temperature, and concentration profiles are investigated through graphical illustrations. The results show that the velocity of the fluid is enhanced once the Ion slip and Hall parameters values are improved. Furthermore, the concentration is improved when the values of the activation energy parameter are enhanced.
Collapse
Affiliation(s)
- Muhammad Ramzan
- Department of Computer Science, Bahria University, Islamabad, 44000 Pakistan
- Department of Mechanical Engineering, Sejong University, Seoul, 143-747 South Korea
| | - Hina Gul
- Department of Computer Science, Bahria University, Islamabad, 44000 Pakistan
| | - Jae Dong Chung
- Department of Mechanical Engineering, Sejong University, Seoul, 143-747 South Korea
| | - Seifedine Kadry
- Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, 115020 Lebanon
| | - Yu-Ming Chu
- Department of Mathematics, Huzhou University, Huzhou, 313000 People’s Republic of China
- Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114 People’s Republic of China
| |
Collapse
|
6
|
Asghar Z, Kousar M, Waqas M, Irfan M, Bilal M, Khan WA. Heat generation in mixed convected Williamson liquid stretching flow under generalized Fourier concept. APPLIED NANOSCIENCE 2020. [DOI: 10.1007/s13204-020-01500-0] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
7
|
Gulzar MM, Aslam A, Waqas M, Javed MA, Hosseinzadeh K. A nonlinear mathematical analysis for magneto-hyperbolic-tangent liquid featuring simultaneous aspects of magnetic field, heat source and thermal stratification. APPLIED NANOSCIENCE 2020. [DOI: 10.1007/s13204-020-01483-y] [Citation(s) in RCA: 21] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
|
8
|
MHD effect on unsteady flow of tangent hyperbolic nano-fluid past a moving cylinder with chemical reaction. SN APPLIED SCIENCES 2020. [DOI: 10.1007/s42452-020-3048-x] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022] Open
|
9
|
Abbas SZ, Khan WA, Waqas M, Irfan M, Asghar Z. Exploring the features for flow of Oldroyd-B liquid film subjected to rotating disk with homogeneous/heterogeneous processes. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2020; 189:105323. [PMID: 31954236 DOI: 10.1016/j.cmpb.2020.105323] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2019] [Revised: 01/03/2020] [Accepted: 01/07/2020] [Indexed: 06/10/2023]
Abstract
BACKGROUND AND OBJECTIVE In the working principle of magnetic devices, the thin film substances are the verified efficient ingredients. Several fields of physics and chemistry has taken advanced studies for the features and utilization of thin film for various aspects. Here, we extracted the features of thin film analysis for time-dependent Oldroyd-B liquid. More specifically, our emphasis is to explore transportation rate of mass/heat by considering mass/energy fluxes. Furthermore, space/temperature dependent heat source/sink are considered. Radiation aspects are taken into account for mathematical modeling of Oldroyd-B liquid. Additionally, Oldroyd-B liquid features are elaborated considering Dufour/Soret aspects. Moreover, the heated surface by convection and chemical aspects remained under consideration while designing the physical model. METHOD Feasible variables are employed to achieve nonlinear structure. Computational analysis of such a nonlinear structure is too easy. Therefore, we have engaged numerical technique (bvp4c technique) to solve nonlinear system. RESULTS Thickness of liquid film boosts for larger rotation whereas it dwindles against magnetic parameter. Liquid concentration intensifies for Soret number. Transportation rate of mass for larger rotation parameter. CONCLUSION Velocity components (Radial, axial, azimuthal) rises via higher ω. Velocity of liquid increase for greater (β2) while reverse trend is detected for (β1). Temperature of liquid dwindles for heat sink (A* < 0, B* < 0) parameters while (θ(η)) rises for (A* > 0, B* > 0).
Collapse
Affiliation(s)
- S Z Abbas
- School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan.
| | - W A Khan
- School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, 12010 Azad Kashmir, Pakistan.
| | - M Waqas
- NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan
| | - M Irfan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Z Asghar
- NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan
| |
Collapse
|
10
|
A note on activation energy and magnetic dipole aspects for Cross nanofluid subjected to cylindrical surface. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-01220-0] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
11
|
Interaction of thermal radiation in hydromagnetic viscoelastic nanomaterial subject to gyrotactic microorganisms. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-018-00938-7] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
12
|
A theoretical analysis of SWCNT–MWCNT and H2O nanofluids considering Darcy–Forchheimer relation. APPLIED NANOSCIENCE 2018. [DOI: 10.1007/s13204-018-0833-6] [Citation(s) in RCA: 57] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
13
|
Gnaneswara Reddy M, Sudha Rani M, Prasannakumara C. Non-Linear Radiation and Chemical Reaction Impacts on Hydromagnetic Particle Suspension Flow in Non-Newtonian Fluids. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2018. [DOI: 10.1515/ijcre-2018-0001] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
A two dimensional (2D) boundary layer two-phase MHD (magneto hydrodynamics) flow of Maxwell and Oldroyd-B fluid over a stretching sheet has been explored. Heat and mass transfer phenomena is inspected through Non-linear radiation, viscous dissipation, joule heating, Soret (thermo-diffusion) and Dufour (diffusion-thermo) Impact. The boundary layer governing differential equations are modelled and transformed to a system of ODE’S with the aid of similarity transformations. The final controlled equations along boundary restrictions are resolved numerically by Runge-Kutta Felhberg method. The graphical analysis has been emphasized for the fluid and dust phase velocity, temperature and concentration fields to the influence of sundry dynamical flow quantities. Furthermore, for authentication of the present computation, the achieved results are distinguished with earlier research works in specific cases and marvellous agreement has been noted. The outcomes conveyed here manifest that velocity and boundary layer thickness escalate with boost up the values of
${K_1}$
. Velocity and boundary layer thickness declines with boost up the values of
$M$
. Opposite trend is seen in temperature and concentration profiles. The specific heat ratio parameter
$\gamma$
enhances the temperature profile declines. Boost up the values of Soret number
$Sr$
temperature profile declines and concentration profile enhances. Skin friction factor declines with increasing values
$\beta _v$
verses
$M$
.
Collapse
|
14
|
Entropy generation minimization (EGM) for convection nanomaterial flow with nonlinear radiative heat flux. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2018.03.067] [Citation(s) in RCA: 76] [Impact Index Per Article: 12.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
|
15
|
Qayyum S, Hayat T, Shehzad SA, Alsaedi A. Mixed convection and heat generation/absorption aspects in MHD flow of tangent-hyperbolic nanoliquid with Newtonian heat/mass transfer. Radiat Phys Chem Oxf Engl 1993 2018. [DOI: 10.1016/j.radphyschem.2017.10.002] [Citation(s) in RCA: 26] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
16
|
Kumar R, Sood S, Shehzad SA, Sheikholeslami M. Radiative heat transfer study for flow of non-Newtonian nanofluid past a Riga plate with variable thickness. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.10.018] [Citation(s) in RCA: 47] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
17
|
Waqas M, Bashir G, Hayat T, Alsaedi A. On non-Fourier flux in nonlinear stretching flow of hyperbolic tangent material. Neural Comput Appl 2017. [DOI: 10.1007/s00521-017-3016-6] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
|
18
|
Hayat T, Zubair M, Waqas M, Alsaedi A, Ayub M. Impact of variable thermal conductivity in doubly stratified chemically reactive flow subject to non-Fourier heat flux theory. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.03.077] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
|
19
|
Hayat T, Khan MI, Waqas M, Alsaedi A. Effectiveness of magnetic nanoparticles in radiative flow of Eyring-Powell fluid. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.01.076] [Citation(s) in RCA: 64] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
20
|
Khan MI, Waqas M, Hayat T, Alsaedi A. Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a stretched surface with homogeneous–heterogeneous reactions. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617500225] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This article communicates the study of magnetohydrodynamic (MHD) stagnation point flow of Casson liquid towards a stretched surface. Chemical reaction model involving both heat and mass transfer is established. Effects of viscous dissipation and Joule heating are also considered. Appropriate transformations yield strong nonlinear ordinary differential system. The obtained nonlinear systems have been solved through built-in shooting method. Velocity field shows decreasing behavior for higher estimation of magnetic parameter while temperature field shows increasing behavior for larger homogeneous heat parameter. Graphical behaviors of velocity, temperature and concentration are analyzed comprehensively corresponding to various pertinent parameters.
Collapse
Affiliation(s)
- Muhammad Ijaz Khan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Muhammad Waqas
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Tasawar Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| |
Collapse
|