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ENHANCEMENT OF HEAT TRANSFER WITH VISCOUS DISSIPATION IMPACT ON FLUID FLOW PAST A MOVING WEDGE IN A PERMEABLE DOMAIN

Yıl 2023, Cilt: 24 Sayı: 3, 164 - 176, 22.09.2023

Uchenna Uka Innocent Emezıem Semiu Ayinde Charles Adenıka Kelvin Agbo

https://doi.org/10.18038/estubtda.1197024

Öz

The problem of modelling and analysis of fluid flow in the presence of viscous dissipation over a wedge in motion is analytically and numerically addressed. As a result of the much-valued significance of this study in the aspects of technological and industrial revolution regarding aerospace, oil recovery systems, defence machineries, extrusion, moulding and polymerisation of sheets, building of war arsenal, glass whirling. However, the frontiers of several physical problems are modelled by both partial and ordinary differential equations (PDEs and ODEs). Therefore, the mathematical modelling of our present problem is not an exemption. Hence, the PDEs which models our problem under consideration becomes changed into coupled ODEs in nonlinear arrangement through the deployment of adequate and standard conversion procedure by using dimensionless variables. In line with the approach of the solution methodology, the boundary conditions governing the flow models are also transmuted. Afterwards, the well-established regular perturbation skill aided in the resolution of the problem. The solutions realised are simulated through the adoption of a software package in the Mathematica V.10 scheme for the numerical solutions. Hence, our results are embodied in form of graphs with legends. It is worthy to note that the effect of increasing rate of flow remains a function of rising values of the porosity and Grashof thermal parameters whereas the opposite behaviour of the flow field is a consequence of improving values of suction parameter. Also, the enhancement of the suction parameter and Eckert number values breeds intensification in the temperature. The Nusselt number intensifies with the rising values of the Prandtl parameter but regresses on the account of radiation factor development.

Anahtar Kelimeler

Heat transference Porous medium Perturbation Simulation Suction

Kaynakça

  • [1] Falkner VM, Skan SW. Solutions of the boundary layer equations. Philosophical Magazine 1931; 7: 865-896.
  • [2] Fang T, Yao S, Zhang J, Zhang Y, Tao H. Momentum and heat transfer of the Falkner-Skan flow with algebraic decay: an analytical solution. Commun. Nonlinear Sci. Numer Simul 2012; 17(6): 2476-2488.
  • [3] Ashraf M, Narahari M, Muthuvalu MS. Mixed convection flow over a stretching porous wedge with Newtonian heating in the presence of heat generation or absorption. In: AIP Conference Proceedings 2016; 1787, 020004, AIP, New York.
  • [4] Ahmad K, Hanouf Z, Ishak A. MHD Casson nanofluid flow over a wedge with Newtonian heating. Eur. Phys. J. Plus 2017; 132(2): 87.
  • [5] Hossain M, A Roy NC, Siddiqa S. Unsteady mixed convection dusty fluid flow over a vertical wedge with small fluctuation in free stream and surface temperature. Appl. Math. Comput 2017; 293: 480-492.
  • [6] Shit GC, Majee S. Hydromagnetic flow past an inclined nonlinear spreading material with fickle viscosity in the presence of thermal radiation and chemical reaction. Journal of Applied Fluid Mechanics 2014; 7(2): 239-247.
  • [7] Rahman MM, Al-Lawatia MA, Eltayeb AI, Al-Salti N. Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation/absorption. International Journal of Thermal Sciences 2012; 57: 172-182.
  • [8] Sulochana G, Ashwinkumar GP, Sandeep N. Effect of frictional heating on mixed convection flow of chemically reacting radiative Casson nanofluid past an inclined porous plate. Alex. Eng J 2018; 57(4): 2573-2584. https://doi.org/10.1016/j.aej.
  • [9] Ashwini G, Eswara AT. MHD Falkner-Skan boundary layer flow with internal heat generation or absorption . World Academy of Science, Engineering and Technology 2012; 65: 662-665.
  • [10] Khan WA, Pop I. Boundary layer flow over a wedge passing in a nanofluid. Mathematical Problems in Engineering 2013; 637-285.
  • [11] Yacob NA, Ishak A, Nazar R, Pop I. Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid. International Communications in Heat and Mass Transfer 2011; 38: 149-153.
  • [12] Chamkha AJ, Abbasbandy S, Rashad AM, and Vajravelu K. Radiation effects on mixed convection over a wedge immersed in a permeable medium filled with a nanofluid. Transport in Porous Media 2012; 91: 261-279.
  • [13] Kasmani RM, Muhaimin I, Kandasamy R. Laminar boundary layer flow of a nanofluid along a wedge in the presence of suction/injection. Journal of Applied Mechanics and Technical Physics 2013; 54(3): 377-384.
  • [14] Ullah I, Bhattacharyya K, Shafie S, Khan I. Unsteady MHD mixed convection slip flow of Casson fluid past nonlinearly stretching sheet embedded in a porous medium with chemical reaction, thermal radiation, heat generation/absorption and convective boundary conditions. Public Library of Science One (PLoS ONE) 2016; 10(11) http://doi.org/10.1371/journal.pone.0165348.
  • [15] Aman S, Khan I, Ismail Z, Salleh MZ. Impacts of gold nanoparticles on MHD mixed convection Poiseuille flow of nanofluid passing through a porous medium in the presence of thermal radiation, thermal diffusion and chemical reaction. Naural Computing and Applications 2016; 30(3): 14 789-797.
  • [16] Ahmed N, Khan U, Mohyud ST. Influence of an effective Prandtl number model on squeezed flow of 𝛾𝐴𝐿2𝑂3 − 𝐻2𝑂 and 𝛾𝐴𝐿2𝑂3 − 𝐶2𝐻6𝑂2 nanofluids. Journal of Molecular Liquids 2017; 238: 447- 17 454.
  • [17] Adnan M, Asadullah M, Khan U, Ahmed N, Mohyud-Din ST. Analytical and Numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels, Journal of Molecular Liquid 2016; 224: 768-775.
  • [18] Ullah K, Bhattacharyya K, Shafie S. Hydromagnetic Falkner-Skan flow of Casson fluid over a moving wedge due to heat transfer. Alexandria Engineering Journal 2016; 55(3): 2139-2148.
  • [19] Khan AW, Pop I. Math. Prob. Eng 2013; 1-7.
  • [20] Vajravelu K. Viscous flow over a nonlinearly stretching plate. Applied Mathematics and Computation 2001; 124(3): 281-288.
  • [21] Oahimire, JI, Olajuwon BI. Effect of Hall current and thermal radiation on heat and mass transfer of a chemically reacting MHD flow of a micropolar fluid past a porous medium. Journal of King Saud University-Engineering Sciences 2013; 1-10. http://dx.doi.org/10.1016/j.jksues.2013.06.008.
  • [22] Tavva SR, Reddy OSP, Raju MC, Varma SVK. MHD free convection heat and mass transfer flow through a porous medium bounded by a vertical surface in the presence of hall current. Advances in Applied Science Research 2012; 3(6): 3482-3490.
  • [23] Kumar MA, Reddy YD, Goud BS, Rao VS. Effects of Soret, Dufour, Hall current and radiation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium. International Journal of Thermofluids 2021; 9: 100061. https://doi.org/10.1016/j.ijft.2010100061.
  • [24] Cortell R. Fluid flow and radiative nonlinear heat transfer over a stretching sheet. Journal of King Saud University-Engineering Sciences 2014; 26: 161-167. https://dx.doi.org/10.1016/j.jksus.2013.08.004.
  • [25] Barik RN, Dash GC, Rath PK. Heat and mass transfer on MHD flow through a porous medium over a stretching surface with heat source. Mathematical Theory and Modeling 2012; 2(7): 49-59.
  • [26] Boussinesq J. Analytical Theory of Heat. Gauthier-Villars. Paris, 1877.
  • [27] Rosseland S. Theoretical Astrophysics. Clarendon Press, Oxford, 1936.
  • [28] Bestman AR. The boundary-layer flow past a semi-infinite heated porous plate for two-component plasma. Astrophysics and Space Science 1990; 173: 93-100.

ENHANCEMENT OF HEAT TRANSFER WITH VISCOUS DISSIPATION IMPACT ON FLUID FLOW PAST A MOVING WEDGE IN A PERMEABLE DOMAIN

Yıl 2023, Cilt: 24 Sayı: 3, 164 - 176, 22.09.2023

Uchenna Uka Innocent Emezıem Semiu Ayinde Charles Adenıka Kelvin Agbo

https://doi.org/10.18038/estubtda.1197024

Öz

Kaynakça

  • [1] Falkner VM, Skan SW. Solutions of the boundary layer equations. Philosophical Magazine 1931; 7: 865-896.
  • [2] Fang T, Yao S, Zhang J, Zhang Y, Tao H. Momentum and heat transfer of the Falkner-Skan flow with algebraic decay: an analytical solution. Commun. Nonlinear Sci. Numer Simul 2012; 17(6): 2476-2488.
  • [3] Ashraf M, Narahari M, Muthuvalu MS. Mixed convection flow over a stretching porous wedge with Newtonian heating in the presence of heat generation or absorption. In: AIP Conference Proceedings 2016; 1787, 020004, AIP, New York.
  • [4] Ahmad K, Hanouf Z, Ishak A. MHD Casson nanofluid flow over a wedge with Newtonian heating. Eur. Phys. J. Plus 2017; 132(2): 87.
  • [5] Hossain M, A Roy NC, Siddiqa S. Unsteady mixed convection dusty fluid flow over a vertical wedge with small fluctuation in free stream and surface temperature. Appl. Math. Comput 2017; 293: 480-492.
  • [6] Shit GC, Majee S. Hydromagnetic flow past an inclined nonlinear spreading material with fickle viscosity in the presence of thermal radiation and chemical reaction. Journal of Applied Fluid Mechanics 2014; 7(2): 239-247.
  • [7] Rahman MM, Al-Lawatia MA, Eltayeb AI, Al-Salti N. Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation/absorption. International Journal of Thermal Sciences 2012; 57: 172-182.
  • [8] Sulochana G, Ashwinkumar GP, Sandeep N. Effect of frictional heating on mixed convection flow of chemically reacting radiative Casson nanofluid past an inclined porous plate. Alex. Eng J 2018; 57(4): 2573-2584. https://doi.org/10.1016/j.aej.
  • [9] Ashwini G, Eswara AT. MHD Falkner-Skan boundary layer flow with internal heat generation or absorption . World Academy of Science, Engineering and Technology 2012; 65: 662-665.
  • [10] Khan WA, Pop I. Boundary layer flow over a wedge passing in a nanofluid. Mathematical Problems in Engineering 2013; 637-285.
  • [11] Yacob NA, Ishak A, Nazar R, Pop I. Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid. International Communications in Heat and Mass Transfer 2011; 38: 149-153.
  • [12] Chamkha AJ, Abbasbandy S, Rashad AM, and Vajravelu K. Radiation effects on mixed convection over a wedge immersed in a permeable medium filled with a nanofluid. Transport in Porous Media 2012; 91: 261-279.
  • [13] Kasmani RM, Muhaimin I, Kandasamy R. Laminar boundary layer flow of a nanofluid along a wedge in the presence of suction/injection. Journal of Applied Mechanics and Technical Physics 2013; 54(3): 377-384.
  • [14] Ullah I, Bhattacharyya K, Shafie S, Khan I. Unsteady MHD mixed convection slip flow of Casson fluid past nonlinearly stretching sheet embedded in a porous medium with chemical reaction, thermal radiation, heat generation/absorption and convective boundary conditions. Public Library of Science One (PLoS ONE) 2016; 10(11) http://doi.org/10.1371/journal.pone.0165348.
  • [15] Aman S, Khan I, Ismail Z, Salleh MZ. Impacts of gold nanoparticles on MHD mixed convection Poiseuille flow of nanofluid passing through a porous medium in the presence of thermal radiation, thermal diffusion and chemical reaction. Naural Computing and Applications 2016; 30(3): 14 789-797.
  • [16] Ahmed N, Khan U, Mohyud ST. Influence of an effective Prandtl number model on squeezed flow of 𝛾𝐴𝐿2𝑂3 − 𝐻2𝑂 and 𝛾𝐴𝐿2𝑂3 − 𝐶2𝐻6𝑂2 nanofluids. Journal of Molecular Liquids 2017; 238: 447- 17 454.
  • [17] Adnan M, Asadullah M, Khan U, Ahmed N, Mohyud-Din ST. Analytical and Numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels, Journal of Molecular Liquid 2016; 224: 768-775.
  • [18] Ullah K, Bhattacharyya K, Shafie S. Hydromagnetic Falkner-Skan flow of Casson fluid over a moving wedge due to heat transfer. Alexandria Engineering Journal 2016; 55(3): 2139-2148.
  • [19] Khan AW, Pop I. Math. Prob. Eng 2013; 1-7.
  • [20] Vajravelu K. Viscous flow over a nonlinearly stretching plate. Applied Mathematics and Computation 2001; 124(3): 281-288.
  • [21] Oahimire, JI, Olajuwon BI. Effect of Hall current and thermal radiation on heat and mass transfer of a chemically reacting MHD flow of a micropolar fluid past a porous medium. Journal of King Saud University-Engineering Sciences 2013; 1-10. http://dx.doi.org/10.1016/j.jksues.2013.06.008.
  • [22] Tavva SR, Reddy OSP, Raju MC, Varma SVK. MHD free convection heat and mass transfer flow through a porous medium bounded by a vertical surface in the presence of hall current. Advances in Applied Science Research 2012; 3(6): 3482-3490.
  • [23] Kumar MA, Reddy YD, Goud BS, Rao VS. Effects of Soret, Dufour, Hall current and radiation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium. International Journal of Thermofluids 2021; 9: 100061. https://doi.org/10.1016/j.ijft.2010100061.
  • [24] Cortell R. Fluid flow and radiative nonlinear heat transfer over a stretching sheet. Journal of King Saud University-Engineering Sciences 2014; 26: 161-167. https://dx.doi.org/10.1016/j.jksus.2013.08.004.
  • [25] Barik RN, Dash GC, Rath PK. Heat and mass transfer on MHD flow through a porous medium over a stretching surface with heat source. Mathematical Theory and Modeling 2012; 2(7): 49-59.
  • [26] Boussinesq J. Analytical Theory of Heat. Gauthier-Villars. Paris, 1877.
  • [27] Rosseland S. Theoretical Astrophysics. Clarendon Press, Oxford, 1936.
  • [28] Bestman AR. The boundary-layer flow past a semi-infinite heated porous plate for two-component plasma. Astrophysics and Space Science 1990; 173: 93-100.
Toplam 28 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Uchenna Uka 0000-0003-4177-3213

Innocent Emezıem 0000-0002-4340-836X

Semiu Ayinde 0000-0003-4917-4709

Charles Adenıka 0000-0003-0430-0302

Kelvin Agbo 0000-0001-9555-9752

Yayımlanma Tarihi 22 Eylül 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 24 Sayı: 3

Kaynak Göster

AMA Uka U, Emezıem I, Ayinde S, Adenıka C, Agbo K. ENHANCEMENT OF HEAT TRANSFER WITH VISCOUS DISSIPATION IMPACT ON FLUID FLOW PAST A MOVING WEDGE IN A PERMEABLE DOMAIN. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. Eylül 2023;24(3):164-176. doi:10.18038/estubtda.1197024