ABSTRACT
A fin is an extended surface used to enhance the surface area of a heat transfer surface between a hot source and the outside environment. To maximise the rate of heat transportation, the exterior surface of heated equipment is equipped with fins of various geometries. Heat is exchanged using fins in radiators, refrigeration systems, superheaters, combustion engines, electrical equipment, electric transformers, space vehicles, and aircraft engines. Reflecting these applications, we analyse the effect of a magnetic field on the thermal properties of radiating porous rectangular fins. The proposed model is numerically analysed using the shooting method under the influence of radiation and convection, then compared with the DTM solution and both the solution found closer to each other. The effect of various dimensionless parameters on temperature transmission in magnetized rectangular-shaped porous fins is revealed using numerical results. It is revealed that, when the Raleigh, Hartmann, Peclet numbers, convective and radiative parameters increase, the fin's thermal profile decreases, whereas the thermal profile increases with an increase in surface temperature, porosity, and ambient temperature. It is observed that the magnetic effect increases the heat transfer rate from porous rectangular fin surfaces. Accordingly, efficiency increases as Hartmann number, Raleigh number, and radiative parameter rise. Increasing Peclet number, surface temperature, and ambient temperature leads to a reduction in efficiency.
KEYWORDS
PAPER SUBMITTED: 2024-02-15
PAPER REVISED: 2024-05-02
PAPER ACCEPTED: 2024-05-08
PUBLISHED ONLINE: 2024-08-18
- Kraus, A.D., et al., Extended Surface Heat Transfer, John Wiley, Inc., New York, 2001
- Kalpakjian, S., Manufacturing Engineering and Technology, Pearson Education, India, 2001
- Shi, Y., et al., Robust optimization design of a flying wing using adjoint and uncertainty-based aerodynamic optimization approach, Struct. Multidisc. Optim., 66 (2023), 110, pp. 1-21
- Yang, W., et al., Phase-field simulation of nano-α′ precipitates under irradiation and dislocations, J. Mater. Res. Technol., 22 (2023), pp. 1307-1321
- Luo, G., et al., Highly Stretchable, Knittable, Wearable Fiberform Hydrovoltaic Generators Driven by Water Transpiration for Portable Self-Power Supply and Self-Powered Strain Sensor, Small, 20 (2024), 12, pp. 2306318
- Zhu, C., Optimizing and using AI to study of the cross-section of finned tubes for nanofluid-conveying in solar panel cooling with phase change materials, Eng. Anal. Bound. Elem., 157 (2023), pp. 71-81
- Mladen, B., Experimental testing of the heat ex-changer with star-shaped fins, Int. J. Heat and Mass Transf., 149 (2020), pp. 119190,.
- Zhang, K., et al., Experimental and numerical investigation of natural convection heat transfer of W-type fin arrays, Int. J. Heat and Mass Transf., 152 (2020), pp. 119315
- Turkyilmazoglu, M., Efficiency of the longitudinal fins of trapezoidal profile in motion, J. Heat Transf., 139 (2017), pp. 094501
- Adhikari, R. C., et al., An experimental and numerical study of forced convection heat transfer from rectangular fins at low Reynolds numbers, Int. J. Heat and Mass Transf., 163 (2022), pp. 120418
- Rezaee, M., et al., Experimental study of natural heat transfer enhancement in a rectangular finned surface by EHD method, I. J. Comm. Heat Mass Transf., 119 (2020), pp. 104969
- Liu, Y., et al., Numerical simulation of non-Fourier heat conduction in fins by lattice Boltzmann method, Applied Therm. Eng., 166 (2020), pp. 114670
- Din, Z. U., et al., Entropy generation from convective-radiative moving exponential porous fins with variable thermal conductivity and internal heat generations, Scientific Reports, 12 (2022), pp. 1-11
- Maghsoudi, P., Siavashi, M., Application of nanofluid and optimization of pore size arrangement of heterogeneous porous media to enhance mixed convection inside a two-sided lid-driven cavity, J. Therm. Anal. Calorim., 135 (2019), pp. 947-961
- Aminian, E., et al., Magnetic field effects on forced convection flow of a hybrid nanofluid in a cylinder filled with porous media: a numerical study, J. Therm. Anal. Calorim., 141 (2020), pp. 2019-2031
- Aminian, E., et al., Investigation of forced convection enhancement and entropy generation of nanofluid flow through a corrugated minichannel filled with a porous media, Entropy, 22 (2020), pp. 1008
- Moghadasi, H., et al., Numerical analysis on laminar forced convection improvement of hybrid nanofluid within a U-bend pipe in porous media, Int. J. Mech. Sci., 179 (2020), pp. 105659
- Dogonchi, A. S., Ganji, D. D., Convection-radiation heat transfer study of moving fin with temperature-dependent thermal conductivity, heat transfer coefficient and heat generation, Appl. Therm. Eng., 103 (2016), pp. 705-712
- Sobamowo, M. G., Thermal analysis of longitudinal fin with temperature-dependent properties and internal heat generation using Galerkin's method of weighted residual, Appl. Therm. Eng., 99 (2016), pp. 1316-1330
- Shateri, A. R., Salahshour, B., Comprehensive thermal performance of convection-radiation longitudinal porous fins with various profiles and multiple nonlinearities, Int. J. Mech. Sci., 136 (2018), pp. 252-263
- Logesh, K., et al., Numerical investigation on the possibility of heat transfer enhancement using reduced weight fin configuration, Int. J. Ambient Energy, 41 (2018), pp. 142-145
- Gao, S., et al., Extremely compact and lightweight triboelectric nanogenerator for spacecraft flywheel system health monitoring, Nano Energy, 122 (2024), pp. 109330
- Din, Z. U., et al., Heat transfer analysis: convective-radiative moving exponential porous fins with internal heat generation. Math. Biosci. Eng., 19, (2022), pp. 11491-11511
- Boussandel, A., et al., Numerical analysis of gray gas radiation effects on heat and mass transfer in an annular cavity, Thermal Science, (2023), pp. 114-124
- Wang, Z., Ouyang, X., Numerical simulation of heat transfer and flow characteristics for plate fin-and-tube heat exchanger with ring-bridge slit fins, Thermal Science, (2023), pp. 86-96
- Shiquan, Z.H., et al., Effect of triangular ribs on the flow and heat transfer characteristics of heat exchanger tube, Thermal Science, 28 (2024)
- Hoshyar, H. A., et al., Least square method for porous fin in the presence of uniform magnetic field, J. applied fluid mech., 9, (2016), pp. 661-668
- Li, X., et al., Non-contact manipulation of nonmagnetic materials by using a uniform magnetic field: Experiment and simulation, Journal of Magnetism and Magnetic Materials, 497, (2020), pp. 165957
- Dong, Z., et al., Magnetic field effect on the sedimentation process of two non-magnetic particles inside a ferrofluid, Journal of Magnetism and Magnetic Materials, 589 (2024), pp. 171501
- Patel, T., Meher, R., Thermal Analysis of the porous fin with uniform magnetic field using Adomian decomposition Sumudu transform method, Nonlinear Eng., 6 (2017), pp. 191-200
- Oguntala, G., et al., Transient thermal analysis and optimization of convective-radiative porous fin under the influence of magnetic field for efficient microprocessor cooling, I. J. Therm. Sci., 145 (2019), pp. 106019
- Oguntala, G., et al., Efficient iterative method for investigation of the convective-radiative porous fin with internal heat generation under a uniform magnetic field, I. J. Applied Comp. Math., 5, (2019), pp. 1-13
- Sreedevi, P., Reddy, P.S., Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions, Heat Transf.—Asian Res., 48 (2019), pp. 4105-4132
- Yadav, P., et al., Fibonacci wavelet method for time fractional convection-diffusion equations, Math. Methods Applied Sci., 47 (2024), pp. 2639-2655
- Shahid, A., et al., An efficient method for the fractional electric circuits based on Fibonacci wavelet, Results in Physics, 52 (2023), pp. 106753
- Yadav, P., et al., Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics, Ain Shams Eng. J., 15 (2024), pp. 102299
- Shahid, A., et al., Wavelets collocation method for singularly perturbed differential-difference equations arising in control system, Results Applied Math., 21 (2024), pp. 100415
- Abbas, A., et al., Numerical simulation of variable density and magnetohydrodynamics effects on heat generating and dissipatingWilliamson Sakiadis flow in a porous space: Impact of solar radiation and Joule heating, Heliyon, 9 (2023), pp. 1-16
- Rehman, K. U., et al., Features of Casson liquid in non-linear radiative magnetized cylindrical media: a numerical solution, Waves in Random and Complex Media, (2022), pp. 1-18
- Rehman, K.U., et al., A comparative thermal case study on thermophysical aspects in thermally magnetized flow regime with variable thermal conductivity, Case Stud. Therm. Eng., 44 (2023), pp. 102839
- Din, Z. U., et al., Entropy generation from convective-radiative moving exponential porous fins with variable thermal conductivity and internal heat generations, Scientific Reports, 12 (2022), pp. 1-11
- Rehman, K.U., et al., Mutual impact of thermal radiations and temperature dependent thermal conductivity on non-newtonian multiple flow regimes, Case Stud. Therm. Eng., 42 (2023), pp. 102752
- A. Rehman, et al., Stability analysis of the shape factor effect of radiative on MHD couple stress hybrid nanofluid, South African Journal of Chemical Engineering, 46 (2023), pp. 394-403
- Turkyilmazoglu, M., Stretching/shrinking longitudinal fins of rectangular profile and heat transfer, Energy Conversion Manag., 91 (2015), pp. 199-203
- Mosavat, M., et al., Heat transfer study of mechanical face seal and fin by analytical method, Eng. Sci. Tech., 21 (2018), pp. 380-388
- Gireesha, B. J., et al., Effects of stretching/shrinking on the thermal performance of a fully wetted convective-radiative longitudinal fin of exponential profile, App. Math. Mech., 43 (2022), pp. 389-402
- Din, Z. U., et al., Investigation of heat transfer from convective and radiative stretching/shrinking rectangular fins, Math. Prob. Eng. (2022)
- Turkyilmazoglu, M., Efficiency of heat and mass transfer in fully wet porous fins: exponential fins versus straight fins, Int. J. Refrig., 46, (2014), pp. 158-164
- Din, Z.U., et al., Heat transfer analysis: convective-radiative moving exponential porous fins with internal heat generation. Math. Biosci. Eng. 19, (2022), pp. 11491-11511
- Das, R., Ooi, K.T., Predicting multiple combinations of parameters for designing a porous fin subjected to a given temperature requirement, Energy Convers. Manage., 66 (2013), pp. 211-219
- Hussin, C., et al., General differential transformation method for higher order of linear boundary value problem, Borneo Science Journal, 27, (2010) pp. 35-46
- Ghafoori, S., et al., Efficiency of differential transformation method for nonlinear oscillation: comparison with HPM and VIM, Curr. Appl. Phys., 11 (2011), pp. 965-971
- Ullah, I., et al., Heat transfer analysis from moving convection-radiative triangular porous fin exposed to heat generation, Case Stud. Therm. Eng., 38 (2022), pp. 102177
- Din, Z. U., et al., Investigation of moving trapezoidal and exponential fins with multiple nonlinearities, Ain Shams Eng. J., 14 (2022), 5, pp. 101959
- Prasad, L., et al., An experimental study of heat transfer enhancement in the perforated rectangular fin, J. Integr. Sci. Technol., 4 (2016), 1, pp. 5-9
- Kiwan, S., et al., An experimental investigation of the natural convection heat transfer from a vertical cylinder using porous fins, App. Therm. Eng., 179 (2020), pp. 115673
- Pathak, S., et al., Improved thermal performance of annular fin-shell tube storage system using magnetic fluid, Applied energy, 239 (2019), pp. 1524-1535