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Dual assessing for thermal analysis via nanoparticles (aluminium oxide and titanium dioxide) and base fluids (water and blood) for mixed convection flows over an inclined plate is studied. The governing equations have been developed through fractional formats by exploiting modern definitions of CF (based on exponential function having no singularity) and AB (having non-singular and non-local kernel) fractional derivatives. This is an important theoretical and practical research that models the movement of heat in materials of various scales and heterogeneous media. The solution to the problem is achieved through Laplace transform with slip boundary and magnetic field. To explain the physical perception of fractional models, the dual fractional solutions of velocity field and temperature distribution are derived by comparing non-singularity and non-locality. The fractional solutions through numerical methods namely Stehfest and Tzou’s have been invoked. The embedded thermo-dynamical fluctuating parameters have been traced out for the better performance of heat transfer. The results of temperature as well as velocity suggested decaying trends in characterization with rapid thermal analysis.
Czasopismo
Rocznik
Tom
Strony
32--43
Opis fizyczny
Bibliogr. 49 poz., rys., tab., wykr.
Twórcy
autor
- Faculty of Natural Sciences, Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan
autor
- Faculty of Computing and Mathematics, Department of Mathematics, Interdisciplinary Research Center for Sustainable Energy Systems, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
autor
- School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China
- 0000-0001-9350-0407
autor
- Faculty of Sciences, Technology and Humanities, Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
Bibliografia
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- 3. Tayebi T, Öztop HF, Chamkha AJ. Natural convection and entropy production in hybrid nanofluid filled-annular elliptical cavity with inter-nal heat generation or absorption. Thermal Science and Engineering Progress. 2020;19:100605.
- 4. Paul A, Deka RK. Unsteady natural convection flow past an infinite cylinder with thermal and mass stratification. International Journal of Engineering Mathematics. 2017(1):8410691.
- 5. Shaikh TS, Akgül A, Rehman MA, Ahmed N, Iqbal MS, Shahid N, Rafiq M, De la Sen M. A nonlinear structure of a chemical reaction model and numerical modeling with the new aspect of existence and unique-ness. Mathematics. 2022;11(1):37.
- 6. Amir M, Ali Q, Raza A, Almusawa MY, Hamali W, Ali AH. Computa-tional results of convective heat transfer for fractionalized Brinkman type tri-hybrid nanofluid with ramped temperature and non-local ker-nel. Ain Shams Engineering Journal. 2024;15(3):102576.
- 7. Ali Q, Riaz S, Memon IQ, Chandio IA, Amir M, Sarris IE, Abro KA. Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation. Nonlinear Engineering. 2023;12(1):20220286.
- 8. Yasin MW, Ahmed N, Iqbal MS, Rafiq M, Raza A, Akgül A. Reliable numerical analysis for stochastic reaction-diffusion system. Physica Scripta. 2022;98(1):015209.
- 9. Awan AU, Ali Q, Riaz S, Shah NA, Chung JD. A thermal optimization throughan innovative mechanism of free convection flow of Jeffrey fluid using non-local kernel. Case Studies in Thermal Engineering. 2021;24:100851.
- 10. Riaz S, Sattar M, Abro KA, Ali Q. Thermo-dynamical investigation of constitutive equation for rate type fluid: a semi-analytical approach. In-ternational Journal of Modelling and Simulation. 2023;43(3):123-34.
- 11. Ali Q, Riaz S, Awan AU, Abro KA. A mathematical model for thermog-raphy on viscous fluid based on damped thermal flux. Zeitschrift für Naturforschung A. 2021;76(3):285-94.
- 12. Ajeel RK, Salim WI, Hasnan K. Design characteristics of symmetrical semicircle-corrugated channel on heat transfer enhancement with nanofluid. International Journal of Mechanical Sciences. 2019;151:236-50.
- 13. Abro KA, Atangana A, Gomez-Aguilar JF. An analytic study of bioheat transfer Pennes model via modern non-integers differential tech-niques. The European Physical Journal Plus. 2021;136:1-1.
- 14. Abro KA, Abdon A. A computational technique for thermal analysis in coaxial cylinder of one-dimensional flow of fractional Oldroyd-B nanofluid. International Journal of Ambient Energy. 2022;43(1): 5357-65.
- 15. Ganvir RB, Walke PV, Kriplani VM. Heat transfer characteristics in nanofluid—A review. Renewable and sustainable energy reviews. 2017;75:451-60.
- 16. Aman S, Khan I, Ismail Z, Salleh MZ. Applications of fractional deriva-tives to nanofluids: exact and numerical solutions. Mathematical Mod-elling of Natural Phenomena. 2018;13(1):2.
- 17. Hussanan A, Trung NT. Heat transfer analysis of sodium carboxyme-thyl cellulose based nanofluid with titania nanoparticles. Journal of Ad-vanced Research in Fluid Mechanics and Thermal Sciences. 2019;56(2):248-56.
- 18. Farhana K, Kadirgama K, Noor MM, Rahman MM, Ramasamy D, Ma-hamude AS. CFD modelling of different properties of nanofluids in header and riser tube of flat plate solar collector. InIOP Conference Series: Materials Science and Engineering 2019, 469: 012041.
- 19. Jamshed W, Aziz A. A comparative entropy based analysis of Cu and Fe3O4/methanol Powell-Eyring nanofluid in solar thermal collectors subjected to thermal radiation, variable thermal conductivity and impact of different nanoparticles shape. Results in physics. 2018, 9:195-205.
- 20. Jamshed W, Goodarzi M, Prakash M, Nisar KS, Zakarya M, Abdel-Aty AH. Evaluating the unsteady Casson nanofluid over a stretching sheet with solar thermal radiation: An optimal case study. Case Studies in Thermal Engineering. 2021; 26:101160.
- 21. Jamshed W, Nisar KS, Gowda RP, Kumar RN, Prasannakumara BC. Radiative heat transfer of second grade nanofluid flow past a porous flat surface: a single-phase mathematical model. Physica Scripta. 2021;96(6):064006.
- 22. Jamshed W, Nisar KS, Ibrahim RW, Mukhtar T, Vijayakumar V, Ahmad F. Computational frame work of Cattaneo-Christov heat flux effects on Engine Oil based Williamson hybrid nanofluids: A thermal case study. Case Studies in Thermal Engineering. 2021; 26:101179.
- 23. Jamshed W, Devi SU, Nisar KS. Single phase based study of Ag-Cu/EO Williamson hybrid nanofluid flow over a stretching surface with shape factor. Physica Scripta. 2021;96(6):065202.
- 24. Jamshed W, Eid MR, Rehman S, Mohamed Isa SS, Abd-Elmonem A, Alanzi AM, Farooq S. Numerical heat and solutal transfer simulation of fluid flowing via absorptive shrinkable sheet with Ohmic heat re-sistance. Numerical Heat Transfer, Part A: Applications. 2024;85(10):1552-68.
- 25. Aziz A, Jamshed W, Aziz T, Bahaidarah HM, Ur Rehman K. Entropy analysis of Powell–Eyring hybrid nanofluid including effect of linear thermal radiation and viscous dissipation. Journal of Thermal Analysis and Calorimetry. 2021;143(2):1331-43.
- 26. Sajid T, Gari AA, Jamshed W, Eid MR, Islam N, Irshad K, Altamirano GC, El Din SM. Case study of autocatalysis reactions on tetra hybrid binary nanofluid flow via Riga wedge: Biofuel thermal application. Case Studies in Thermal Engineering. 2023; 47:103058.
- 27. Kai Y, Ali K, Ahmad S, Ahmad S, Jamshed W, Raizah Z, El Din SM. A case study of different magnetic strength fields and thermal energy effects in vortex generation of Ag-TiO2 hybrid nanofluid flow. Case Studies in Thermal Engineering. 2023; 47:103115.
- 28. Hanif H, Jamshed W, Eid MR, Ibrahim RW, Shafie S, Raezah AA, El Din SM. Numerical Crank-Nicolson methodology analysis for hybridity aluminium alloy nanofluid flowing based-water via stretchable horizon-tal plate with thermal resistive effect. Case Studies in Thermal Engi-neering. 2023; 42:102707.
- 29. Kai Y, Ahmad S, Takana H, Ali K, Jamshed W, Eid MR, Abd-Elmonem A, El Din SM. Thermal case study and generated vortices by dipole magnetic field in hybridized nanofluid flowing: Alternating direction im-plicit solution. Results in Physics. 2023; 49:106464.
- 30. Ullah I, Ali F, Isa SM, Murtaza S, Jamshed W, Eid MR, Amjad A, Guedri K, Khalifa HA, El Din SM. Electro-magnetic radiative flowing of Williamson-dusty nanofluid along elongating sheet: Nanotechnology application. Arabian Journal of Chemistry. 2023;16(5):104698.
- 31. Zhang X, Yang D, Katbar NM, Jamshed W, Ullah I, Eid MR, Raizah Z, Ibrahim RW, Khalifa HA, El Din SM. Entropy and thermal case descrip-tion of monophase magneto nanofluid with thermal jump and Ohmic heating employing finite element methodology. Case Studies in Ther-mal Engineering. 2023;45:102919.
- 32. Podlubny I. Fractional differential equations: an introduction to frac-tional derivatives, fractional differential equations, to methods of their solution and some of their applications. elsevier; 1998, 198:1-340.
- 33. Baleanu D, Fernandez A. On fractional operators and their classifica-tions. Mathematics. 2019;7(9):830.
- 34. Wang BO, Tahir M, Imran M, Javaid M, Jung CY. Semi analytical so-lutions for fractional Oldroyd-B fluid through rotating annulus. IEEE Ac-cess. 2019; 7:72482-91.
- 35. Ullah Z, Abbas A, El-Zahar ER, Seddek LF, Akgul A, Hassan AM. Significance of thermal density and viscous dissipation on heat and mass transfer of chemically reactive nanofluid flow along stretching sheet under magnetic field. Results in Engineering. 2023; 20:101413.
- 36. Ahmed N, Baber MZ, Iqbal MS, Annum A, Ali SM, Ali M, Akgül A, El Din SM. Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method. Scientific Reports.
- 37. Caputo M, Fabrizio M. A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation & Applications. 2015;1(2):73-85.
- 38. Qayyum M, Afzal S, Saeed ST, Akgül A, Riaz MB. Unsteady hybrid nanofluid (Cu-UO2/blood) with chemical reaction and non-linear ther-mal radiation through convective boundaries: An application to bio-medicine. Heliyon. 2023;9(6):e16578.
- 39. Ahmad B, Ahmad MO, Farman M, Akgül A, Riaz MB. A significance of multi slip condition for inclined MHD nano-fluid flow with non linear thermal radiations, Dufuor and Sorrot, and chemically reactive bio-convection effect. South African Journal of Chemical Engineering. 2023;43:135-45.
- 40. Riaz S, Sattar M, Abro KA, Ali Q. Thermo-dynamical investigation of constitutive equation for rate type fluid: a semi-analytical approach. In-ternational Journal of Modelling and Simulation. 2023;43(3):123-34.
- 41. Atangana A, Baleanu D. New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model. arXiv preprint arXiv:1602.03408. 2016.
- 42. Riaz MB, Iftikhar N. A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators. Chaos, Solitons & Fractals. 2020;132:109556.
- 43. Atangana A. On the new fractional derivative and application to non-linear Fisher’s reaction–diffusion equation. Applied Mathematics and computation. 2016;273:948-56.
- 44. Riaz S, Ali Q, Khanam Z, Rezazadeh H, Esfandian H. Modeling and computation of nanofluid for thermo-dynamical analysis between ver-tical plates. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2023;237(5):1750-60.
- 45. Riaz S, Amir M, Memon IQ, Ali Q, Abro KA. A comparative study for solidification of nanoparticles suspended in nanofluids through non-local kernel approach. Arabian Journal for Science and Engineering. 2023;48(9):11645-63.
- 46. Riaz S, Ali S, Ali Q, Khan SU, Amir M. Fractional simulations for mixed convection flow of hybrid nanofluids due to inclined channel with chem-ical reaction and external heat source features. Waves in Random and Complex Media. 2023;1-9.
- 47. Ali Q, Yassen MF, Asiri SA, Pasha AA, Abro KA. Role of viscoelasticity on thermoelectromechanical system subjected to annular regions of cylinders in the existence of a uniform inclined magnetic field. The Eu-ropean Physical Journal Plus. 2022;137(7):1-0.
- 48. Stehfest H. Algorithm 368: Numerical inversion of Laplace transforms [D5]. Communications of the ACM. 1970;13(1):47-9.
- 49. Tzou DY. Macro-to microscale heat transfer: the lagging behavior. John Wiley & Sons; 2014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-02458dc8-1b0d-4a83-9bc0-2d678d8c728f
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