A comprehensive review of enhanced heat transfer with ribs/baffles in channels
คำสำคัญ:
Baffle, channel, enhanced heat transfer, rib, rough surface, thermal performance, turbulatorบทคัดย่อ
The paper discusses the evolution and current state of heat transfer augmentation technologies utilized in various thermal energy systems, such as solar air heaters, solar thermal systems, and gas turbines. Several turbulence generators, instance ribs and baffles, are regarded an efficient methods of increasing heat transfer rate to moving air in the ducts of solar air heaters, heat exchangers, and for turbine blade cooling. The application of rib/baffles is an excellent method for enhancing heat transfer rate to a flowing fluid inside the channel/duct of a solar air heater and in turbine blade cooling. This paper seeks to present an in-depth assessment of research activity in increased heat transfer in its presentation of ribs/baffles in channels. It gives readers a thorough understanding of the principles of enhanced heat transfer with ribs and baffles, how this knowledge has evolved over time. The effects of a variety of rib/baffle shapes on the heat transfer rate and pressure loss behaviors of solar air heaters are been addressed. The most effective ribs/baffles for augmenting heat transfer and minimizing pressure drop are those that have been carefully engineered to enhance the thermal performance factor. The mechanics of heat transfer enhancement and flow structure around the ribs/baffles will be the main topics of this review. We have done a thorough investigation into the heat transfer mechanism in a channel with different rib and baffles turbulators before drawing our conclusions from the literature review.
References
Han JC, Chandra PR, Lau SC. Local heat/mass transfer distributions around sharp 180 deg turns in two-pass smooth and rib-roughened channels. J Heat Transf. 1988;110(1):91-98.
Nikuradse J. Laws of flow in rough pipes. National Advisory Committee for Aeronautics; 1950.
Varun, Saini RP, Singal SK. A review on roughness geometry used in solar air heaters. Sol Energy. 2007;81(11):1340-1350.
Webb RL, Haman LL, Hui TS. Enhanced channels in electric utility steam condensers. Heat transfer in Heat Rejection Systems - ASME Symposium. 1984;37(2):17-26.
Bergles AE. Techniques to enhance heat transfer. In: Rohsenow WM, Hartnett JP, Cho YI, editors. Handbook of Heat Transfer. 3rd ed. New York: McGraw-Hill; 1998.
Manglik RM. Heat transfer enhancement. In: Bejan A, Kraus AD, editors. Heat Transfer Handbook. New Jersey: Wiley; 2003.
Webb RL, Kim NK. Principles of Enhanced Heat Transfer. Florida: Taylor & Francis; 2005.
Zimparov VD, Vulchanov, N. Performance evaluation criteria for enhanced heat transfer surfaces. Int J Heat Mass Transf. 1994;37(12):1807-1816.
Webb RL, Bergles AE. Performance evaluation criteria for selection of heat transfer surface geometries used in low Reynolds number heat exchangers. Washington DC: Hemisphere; 1983.
Wang L, Sundén B. Performance comparison of some tube inserts. Int Commun Heat Mass Transf. 2002;29(1):45-56.
Webb RL, Kim NH. Principle of Enhanced Heat Transfer. New York: Taylor & Francis; 1994.
Zhang G, Sundén B, Xie G. Combined experimental and numerical investigations on heat transfer augmentation in truncated ribbed channels designed by adopting fractal theory. Int Commun Heat Mass Transf. 2021;121:105080.
Ke Z, Zhang Y. Heat transfer enhancement in a rectangular channel with flow-induced pitching, heaving or surging of an airfoil. Int Commun Heat Mass Transf. 2023;142:106657.
Zhao Z, Luo L, Du W, Wang S, Zhou X, Sundén B. Experimental study on the augmented Nusselt number of the endwall through a square-sectioned sharp-turn channel using novel heat exchanger. Int J Heat Mass Transf. 2022;192(15):122920.
Eiamsa-ard S, Sripattanapipat S, Promvonge P. An experimental study of a channel flow over two obstacles hydrogen bubble technique. 7th Asian Symposium on Visualization; 2003 Nov 3-7; National University of Singapore, Singapore: ASV; 2003. p. 3A-1.
Eiamsa-ard S, Changcharoe, W. Analysis of turbulent heat transfer and fluid flow in channels with various ribbed internal surfaces. J Therm Sci. 2011;20:260-267.
Eiamsa-ard S, Chuwattanakul V. Visualization of heat transfer characteristics using thermochromic liquid crystal temperature measurements in channels with inclined and transverse twisted-baffles. Int. J Therm Sci. 2020;153:106358.
Yongsiri K, Eiamsa-ard P, Wongcharee K, Eiamsa-ard S. Augmented heat transfer in a turbulent channel flow with inclined detached ribs. Case Stud Therm Eng. 2014;3:1-10.
Sripattanapipat S, Eiamsa-ard S, Kongkaitpaiboon V, Promvonge P. Forced convection heat transfer and flow characteristics in a rectangular channel with 90o baffles. Proceedings of 12th Asian Symposium on Visualization; 2013 May 19-23; Tainan, Taiwan: ASV; 2013. p.XX-XX.
Nuntadusit C, Wae-hayee M, Bunyajitradulya A, Eiamsa-ard S. Thermal visualization on surface with a transverse perforated rib. Int Commun Heat Mass Transf. 2012;39(5):634-639.
Changcharoen W, Eiamsa-ard S. Numerical investigation of turbulent heat transfer in channels with detached rib-arrays. Heat Transf. 2011;40(5):431-447.
Jiang G, Gao J. Flow and heat transfer performance of the channel with different shaped ribs cooled by mist/steam two-phase flow. Case Stud Therm Eng. 2022;38:102365.
Eiamsa-ard S, Promvonge P. Thermal characteristics of turbulent rib-grooved channel flows. Int Commun Heat Mass Transf. 2009;36(7):705-711.
Eiamsa-ard S, Promvonge P. Numerical study on heat transfer of turbulent channel flow over periodic grooves. Int Commun Heat Mass Transf. 2008;35(7):844-852.
Eiamsa-ard S, Sripattanapipat S, Promvonge P. Influence of triangular wavy baffles on heat and fluid flow characteristics in a channel. J Mech Sci Tech. 2013;27:2199-2208.
Wang L, Sundén B. Experimental investigation of local heat transfer in a square duct with various-shaped ribs. Heat Mass Transf. 2007;43:759-766.
Xie G, Liu J, Ligrani PM, Sunden B. Flow structure and heat transfer in a square passage with offset mid-truncated ribs. Int J Heat Mass Transf. 2014;71:44-56.
Iacovides H, Kelemenis G, Raisee M. Flow and heat transfer in straight cooling passages with inclined ribs on opposite walls: an experimental and computational study. Exp Therm Fluid Sci. 2003;27(3):283-294.
Mahanand Y, Senapati JR. Thermo-hydraulic performance analysis of a solar air heater (SAH) with quarter-circular ribs on the absorber plate: A comparative study. Int J Therm Sci. 2021;161:106747.
Ekiciler R, Çetinkaya MSA. A comparative heat transfer study between monotype and hybrid nanofluid in a duct with various shapes of ribs. Therm Sci Eng Progr. 2021;23:100913.
Liu J, Hussain S, Wang J, Wang L, Xie G, Sunden B. Heat transfer enhancement and turbulent flow in a high aspect ratio channel (4:1) with ribs of various truncation types and arrangements. Int J Therm Sci. 2018;123:99-116.
Liu J, Hussain S, Wang W, Xie G, Sunden B. Experimental and numerical investigations of heat transfer and fluid flow in a rectangular channel with perforated ribs. Int Commun Heat Mass. 2021;121:105083.
Prasad BN, Saini JS. Effect of artificial roughness on heat transfer and friction factor in a solar air heater. Sol Energy. 1988;41(6):555-560.
Prasad BN, Saini JS. Optimal thermohydraulic performance of artificial roughened solar air heater. Sol Energy. 1991;47(2):91-96.
Eiamsa-ard S, Sripattanapipat S, Promvonge P. Simulation of turbulent channel flow over two blocks in tandem arrangement. Proceedings of the Tenth Asian Congress of Fluid Mechanics (ACFMX); 2004 May 17-21; Sri Lanka; 2004. p. C-17.
Promvonge P, Changcharoen W, Kwankaomeng S, Thianpong C. Numerical heat transfer study of turbulent square-duct flow through inline V-shaped discrete ribs. Int Commun Heat Mass. 2011;38(10):1392-1399.
Bahiraei M, Mazaheri N, Hosseini Y, Moayedi H. A two-phase simulation for analyzing thermohydraulic performance of Cu–water nanofluid within a square channel enhanced with 90° V-shaped ribs. Int Commun Heat Mass. 2019;145:118612.
Layek A, Saini JS, Solanki SC. Effect of chamfering on heat transfer and friction characteristics of solar air heater having absorber plate roughened with compound turbulators. Renew Energ. 2009;34(5):1292-1298.
Momin AME, Saini JS, Solanki SC. Heat transfer and friction in solar air heater duct with V-shaped rib roughness on absorber plate. Int J Heat Mass Tran. 2002;45(16):3383-3396.
Saini SK, Saini RP. Development of correlations for Nusselt number and friction factor for solar air heater with roughened duct having arc-shaped wire as artificial roughness. Sol Energy. 2008;82(12):1118-1130.
Karwa R, Solanki SC, Saini JS. Heat transfer coefficient and friction factor correlations for the transitional flow regime in rib-roughened rectangular ducts. Int J Heat Mass Tran. 1999;42(9):1597-1615.
Bhagoria JL, Saini JS, Solanki SC. Heat transfer coefficient and friction factor correlations for rectangular solar air heater duct having transverse wedge shaped rib roughness on the absorber plate. Renew Energ. 2002;25(3):341-369.
Jaurker AR, Saini JS, Gandhi BK. Heat transfer and friction characteristics of rectangular solar air heater duct using rib-grooved artificial roughness. Sol Energy. 2006;80(8):895-907.
Karmare SV, Tikekar AN. Heat transfer and friction factor correlation for artificially roughened duct with metal grit ribs. Int J Heat Mass Tran. 2007;50(21-22):4342-4351.
Saini RP, Verma J. Heat transfer and friction factor correlations for a duct having dimple-shape artificial roughness for solar air heaters. Energy. 2008;33(8):1277-1287.
Yadav AS, Bhagoria JL. A CFD (computational fluid dynamics) based heat transfer and fluid flow analysis of a solar air heater provided with circular transverse wire rib roughness on the absorber plate. Energy. 2013;55:1127-1142.
Yadav AS, Bhagoria JL. A numerical investigation of square sectioned transverse rib roughened solar air heater. Int J Therm Sci. 2014;79:111-131.
Yadav AS, Bhagoria JL. A CFD based thermo-hydraulic performance analysis of an artificially roughened solar air heater having equilateral triangular sectioned rib roughness on the absorber plate. Int J Heat Mass Tran. 2014;70:1016-1039.
Aharwal KR, Gandhi BK, Saini JS. Experimental investigation on heat-transfer enhancement due to a gap in an inclined continuous rib arrangement in a rectangular duct of solar air heater. Renew Energ. 2008;33(4):585-596.
Aharwal KR, Gandhi BK, Saini JS. Heat transfer and friction characteristics of solar air heater ducts having integral inclined discrete ribs on absorber plate. Int Commun Heat Mass. 2009;52(25-26):5970-5977.
Sahu MM, Bhagoria JL. Augmentation of heat transfer coefficient by using 90o broken transverse ribs on absorber plate of solar air heater. Renew Energ. 2005;30(13):2057-2073.
Varun, Saini RP, Singal SK. Investigation of thermal performance of solar air heater having roughness elements as a combination of inclined and transverse ribs on the absorber plate. Renew Energ. 2008;33(6):1398-1405.
Boonloi A, Jedsadaratanachai W. CFD analysis on heat transfer characteristics and fluid flow structure in a square duct with modified wavy baffles. Case Stud Therm Eng. 2022;29:101660.
Boonloi A, Jedsadaratanachai W. Numerical investigation on turbulent forced convection and heat transfer characteristic in a square channel with discrete combined V-baffle and V-orifice. Case Stud Therm Eng. 2016;8:226-235.
Chaube A, Gupta S, Verma P. Heat transfer and friction factor enhancement in a square channel having integral inclined discrete ribs on two opposite walls. J Mech Sci Technol. 2014;28:1927-1937.
Kaewchoothong N, Maliwan K, Takeishi K, Nuntadusit C. Effect of inclined ribs on heat transfer coefficient in stationary square channel. Theor Appl Mech Lett. 2007;7(6):344-350.
Han JC, Zhang YM, Lee CP. Augmented heat transfer in square channels with parallel, crossed and V-shaped angled ribs. J Heat Trans-T ASME. 1991;113(3):590-596.
Han JC, Zhang YM, Lee CP. Influence of surface heat flux ratio on heat transfer augmentation in square channels with parallel, crossed, and V-shaped angled ribs. J Turbomach. 1992;114(4):872-880.
Xie G, Zheng S, Zhang W, Sundén B. A numerical study of flow structure and heat transfer in a square channel with ribs combined downstream half-size or same-size ribs. Appl Therm Eng. 2013;61(2):289-300.
Kumar A, HoeKim M. Heat transfer and fluid flow characteristics in air duct with various V-pattern rib roughness on the heated plate: A comparative study. Energy. 2016;103:75-85.
Abraham S, Vedula RP. Heat transfer and pressure drop measurements in a square cross-section converging channel with V and W rib turbulators. Exp Therm Fluid Sci. 2016;70:208-219.
Han JC, Zhang YM. High performance heat transfer ducts with parallel broken and V-shaped broken ribs. Int J Heat Mass Tran. 1992;35(2):513-523.
Karwa R. Experimental studies of augmented heat transfer and friction in asymmetrically heated rectangular ducts with ribs on the heated wall in transverse, inclined, V-continuous and V discrete pattern. Int Commun Heat Mass. 2003;30(2):241-250.
Tanda G, Abram R. Forced convection heat transfer in channels with rib turbulators inclined at 45 deg. J Turbomach Trans ASME. 2009;131(2):021012.
Bazdid-Tehrani F, Naderi-Abadi M. Numerical analysis of laminar heat transfer in entrance region of a horizontal channel with transverse fins. Int Commun Heat Mass. 2004;31(2):211-220.
Mousavi SS, Hooman K. Heat and fluid flow in entrance region of a channel with staggered baffles. Energ Convers Manage. 2006;47(15-16):2011-2019.
Chang SW, Chen TW, Chen YW. Detailed heat transfer and friction factor measurements for square channel enhanced by plate insert with inclined baffles and perforated slots. Appl Therm Eng. 2019;159:113856.
Mashaei PR, Taheri-Ghazvini M, Moghadam RS, Madani S. Smart role of Al2O3-water suspension on laminar heat transfer in entrance region of a channel with transverse in-line baffles. Appl Therm Eng. 2017;112:450-463.
Promvonge P, Sripattanapipat S, Kwankaomeng S. Laminar periodic flow and heat transfer in square channel with 45° inline baffles on two opposite walls. Int J Therm Sci. 2010;49:963-975.
Promvonge P, Sripattanapipat S, Tamna S, Kwankaomeng S, Thianpong C. Numerical investigation of laminar heat transfer in a square channel with 45° inclined baffles. Int Commun Heat Mass. 2010;37(2):170-177.
Kwankaomeng S, Promvonge P. Numerical prediction on laminar heat transfer in square duct with 30° angled baffle on one wall. Int Commun Heat Mass. 2010;37(7):857-866.
Promvonge P, Jedsadaratanachai W, Kwankaomeng S. Numerical study of laminar flow and heat transfer in square channel with 30° inline angled baffle turbulators. Appl Therm Eng. 2010;30(11-12):1292-1303.
Dutta S, Dutta P, Jones RE, Khan JA. Heat transfer coefficient enhancement with perforated baffles. J Heat Transf. 1998;120(3):795-797.
Dutta P, Dutta S. Effect of baffle size, perforation, and orientation on internal heat transfer enhancement. Int J Heat Mass Tran. 1998;41:3005-3013.
Sahel D, Ameur H, Benzeguir R, Kamla Y. Enhancement of heat transfer in a rectangular channel with perforated baffles. Appl Therm Eng. 2016;101:156-164.
El Habet MA, Ahmed SA, Saleh MA. The effect of using staggered and partially tilted perforated baffles on heat transfer and flow characteristics in a rectangular channel. Int J Therm Sci. 2022;174:107422.
Alam T, Saini RP, Saini JS. Experimental investigation on heat transfer enhancement due to V-shaped perforated blocks in a rectangular duct of solar air heater. Energ Convers Manage. 2014;81:374-383.
Chamoli S. A Taguchi approach for optimization of flow and geometrical parameters in a rectangular channel roughened with V down perforated baffles. Case Stud Therm Eng. 2015;5:59-69.
Chamoli S, Thakur NS. Heat transfer enhancement in solar air heater with V-shaped perforated baffles. J Renew Sustain Ener. 2013;5:023122.
Chamoli S, Thakur NS. Correlations for solar air heater duct with V-shaped perforated baffles as roughness elements on absorber plate. Int J Sustain Energy. 2016;35:1-20.
Promvonge P, Skullong S. Thermal characteristics in solar air duct with V-shaped flapped-baffles and chamfered-grooves. Int J Heat Mass Tran. 2021;172:121220.
Eiamsa-ard S, Sripattanapipat S, Promvonge P. Numerical heat transfer analysis in turbulent channel flow over a side-by-side triangular prism pair. J Eng Thermophys. 2012;21(2):95-110.
Thakur DS, Khan MK, Pathak M. Solar air heater with hyperbolic ribs: 3D simulation with experimental validation. Renew Energ. 2017;113:357-368.
Li Y, Rao Y, Wang D, Zhang P, Wub X. Heat transfer and pressure loss of turbulent flow in channels with miniature structured ribs on one wall. Int J Heat Mass Tran. 2019;131:584-593.
Jiang W, Zhao J, Rao Z. Heat transfer performance enhancement of liquid cold plate based on mini V-shaped rib for battery thermal management. Appl Therm Eng. 2021;189:116729.
Tanda G, Satta F. Heat transfer and friction in a high aspect ratio rectangular channel with angled and intersecting ribs. Int J Heat Mass Tran. 2021;169:120906.
Jin D, Zhang M, Wang P, Xu S. Numerical investigation of heat transfer and fluid flow in a solar air heater duct with multi V-shaped ribs on the absorber plate. Energy 2015;89:178-190.
Jin D, Quan S, Zuo J, Xu S. Numerical investigation of heat transfer enhancement in a solar air heater roughened by multiple V-shaped ribs. Renew Energ. 2019;134:78-88.
Li J-L, Tang HW, Yang Y-T. Numerical simulation and thermal performance optimization of turbulent flow in a channel with multi V-shaped baffles. Int Commun Heat Mass. 2018;92:39-50.
Fawaz HE, Badawy MTS, Abd Rabbo MF, Elfeky A. Numerical investigation of fully developed periodic turbulent flow in a square channel fitted with 45° in-line V-baffle turbulators pointing upstream. Alex Eng J. 2018;57(2):633-642.
Dong Z, Liu P, Xiao H, Liu Z, Liu W. A study on heat transfer enhancement for solar air heaters with ripple surface. Renew Energ. 2021;172:477-487.
Singh AP, Varun, Siddhartha. Heat transfer and friction factor correlations for multiple arc shape roughness elements on the absorber plate used in solar air heaters. Exp Therm Fluid Sci. 2014;54:117-126.
Singh S, Chande S, Saini JS. Investigations on thermo-hydraulic performance due to flow-attack-angle in V-down rib with gap in a rectangular duct of solar air heater. Appl Energ. 2012;97:907-912.
Singh S, Chander S, Saini JS. Thermo-hydraulic performance due to relative roughness pitch in V-down rib with gap in solar air heater duct - Comparison with similar rib roughness geometries. Renew Sust Energ Rev. 2015;43:1159-1166.
Kumar A, Saini RP, Saini JS. Development of correlations for Nusselt number and friction factor for solar air heater with roughened duct having multi v-shaped with gap rib as artificial roughness. Renew Energ. 2013;58:151-163.
Maithani R, Saini JS. Heat transfer and friction factor correlations for a solar air heater duct roughened artificially with V-ribs with symmetrical gaps. Exp Therm Fluid Sci. 2016;70:220-227.
Kumar R, Kumar A, Chauhan R, Sethi M. Heat transfer enhancement in solar air channel with broken multiple V-type baffle. Case Stud Therm Eng. 2016;8:187-197.
Jedsadaratanachai W, Boonloi A. Effects of blockage ratio and pitch ratio on thermal performance in a square channel with 30° double V-baffles. Case Stud Therm Eng. 2014;4:118-128.
Jedsadaratanachai W, Boonloi A. Numerical investigation on turbulent forced convection and heat transfer characteristic in a square channel with discrete combined V-baffle and V-orifice. Case Stud Therm Eng. 2016;8:226-235.
Kumar R, Chauhan R, Sethi M, Kumar A. Experimental study and correlation development for Nusselt number and friction factor for discretized broken V-pattern baffle solar air channel. Exp Therm Fluid Sci. 2017;81:56-75.
Kumar R, Sethi M, Chauhan R, Kumar A. Experimental study of enhancement of heat transfer and pressure drop in a solar air channel with discretized broken V-pattern baffle. Renew Energ. 2017;101:856-872.
Promvonge P, Skullong S. Augmented heat transfer in tubular heat exchanger fitted with V-baffled tapes. Int J Therm Sci. 2020;155:106429.
Promvonge P, Skullong S. Enhanced thermal performance in tubular heat exchanger contained with V-shaped baffles. Appl Therm Eng. 2021;185:116307.
Phila A, Thianpong C, Eiamsa-ard S. Influence of geometric parameters of alternate axis twisted baffles on the local heat transfer distribution and pressure drop in a rectangular channel using a transient liquid crystal technique. Energies. 2019;12(12):2341.
Eiamsa-ard S. Study on thermal and fluid flow characteristics in turbulent channel flows with multiple twisted tape vortex generators. Int Commun Heat Mass. 2010;37(6):644-651.
Kumar A, Layek A. Thermo-hydraulic performance of solar air heater having twisted rib over the absorber plate. Int J Therm Sci. 2018;133:181-195.
Kumar A, Layek A. Nusselt number and friction factor correlation of solar air heater having twisted-rib roughness on absorber plate. Renew Energ. 2019;130:687-699.
Rashidi S, Akbarzadeh M, Karimi N, Masoodi R. Combined effects of nanofluid and transverse twisted-baffles on the flow structures, heat transfer and irreversibilities inside a square duct - A numerical study. Appl Therm Eng. 2018;130:135-148.
Zhang Q, Feng Z, Li Z, Chen Z, Huang S, Zhang J, Guo F. Numerical investigation on hydraulic and thermal performances of a mini-channel heat sink with twisted ribs. Int J Therm Sci. 2022;179:107718.
Sawhney JS, Maithani R, Chamoli S. Experimental investigation of heat transfer and friction factor characteristics of solar air heater using wavy delta winglets. Appl Therm Eng. 2017;117:740-751.
Sahu MK, Prasad RK. Exergy based performance evaluation of solar air heater with arc- shaped wire roughened absorber plate. Renew Sust Energ Rev. 2016;96:233-243.
Hans VS, Gill RS, Singh S. Heat transfer and friction factor correlations for a solar air heater duct roughened artificially with broken arc ribs. Exp Therm Fluid Sci. 2017;80:77-89.
Saravanakumar PT, Somasundaram D, Matheswaran MM. Thermal and thermo-hydraulic analysis of arc shaped rib roughened solar air heater integrated with fins and baffles. Sol Energy. 2019;180:360-371.
Promvonge P, Eiamsaard S, Wongcharee K, Chuwattanakul V, Samruaisin P, Chokphoemphun S, Nanan K, Eiamsa-ard P. Characterization of heat transfer and artificial neural networks prediction on overall performance index of a channel installed with arc-shaped baffle turbulators. Case Stud Therm Eng. 2021;26:101067.
Sureandhar G, Srinivasan G, Muthukumar P, Senthilmurugan S. Investigation of thermal performance in a solar air heater having variable arc ribbed fin configuration. Sustain Energy Technol Assess. 2022;52:102069.
Promvonge P, Chompookham T, Kwankaomeng S, Thianpong C. Enhanced heat transfer in a triangular ribbed channel with longitudinal vortex generators. Energy Convers Manag. 2010;51(6):1242-1249.
Promvonge P, Khanoknaiyakarn C, Kwankaomeng S, Thianpong C. Thermal behavior in solar air heater channel fitted with combined rib and delta-winglet. Int Commun Heat Mass. 2011;38(6):749-756.
Nazir U, Sohail M, Hafeez MB, Krawczuk M, Askar S, Wasif S. An inclination in thermal energy using nanoparticles with casson liquid past an expanding porous surface. Energies. 2021;14(21):7328.
Ahmed Z, Saleem S, Nadeem S, Khan AU. Squeezing flow of carbon nanotubes-based nanofluid in channel considering temperature-dependent viscosity: a numerical approach. Arab J Sci Eng. 2021;46:2047-2053.
Saleem S, Gopal D, Shah NA, Feroz N, Kishan N, Chung JD, Safdar S. Modelling entropy in magnetized flow of eyring–powell nanofluid through nonlinear stretching surface with chemical reaction: a finite element method approach. Nanomaterials. 2022;12(11):1811.
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