Review of improvements on heat transfer using nanofluids via corrugated facing step

  • Authors

    • Ali Hilo
    • Abd Rahim Abu Talib
    • Sadeq R. Nfawa
    • Mohamed Thariq Hameed Sultan
    • Mohd Faisal Abdul Hamid
    2018-10-09
    https://doi.org/10.14419/ijet.v7i4.13.21350
  • nanofluid, thermal conductivity, enhancement, corrugated, facing step.
  • Abstract

    Nanofluids are considered to offer significant advantages as thermodynamic fluids because of their admirable properties on thermal conduction, thermal convection, boiling heat transfer and stability. This paper presents numerous researches focusing on the improvement of heat transfer via facing step and corrugated channels using nanofluids and without it. Exploration on the convective heat transfer was done through numerical modeling. It was reported that experimental studies were carried out in corrugated and facing step channels through the application of nanofluids and conventional fluids for heat transfer enhancement. The turbulent and laminar flows along corrugated and facing step channels have been presented. The numerical and experimental findings in maximizing the heat transfer rate are in accord. Comparisons between thermal conductivity measurement methods were done. Innovative design of corrugated facing step channel is being proposed. The heat transfer enhancements reach 60% by using facing step channel under laminar flow with nanofluid. The dimensions of new channel such as height and width of the baffle, the height of the step, shape and height of corrugated are needed to compare that might to provide the ideal rate of heat transfer.

     

     

  • References

    1. [1] Naphon P (2008), Effect of corrugated plates in an in-phase arrangement on the heat transfer and flow developments. Int J Heat Mass Transfer 51, 3963–3971

      [2] Mohammed KA, Abu Talib AR, Nuraini AA & Ahmed KA (2017), Review of forced convection nanofluids through corrugated facing step. Renew Sustain Energy Rev 75, 234–241

      [3] Heyhat M, Kowsary F, Rashid A, Esfehani S & Amrollahi A (2012), Experimental investigation of turbulent flow and convective heat transfer characteristics of alumina water nanofluids in fully developed flow regime. Int Commun Heat Mass Transf 39,1272–1278

      [4] Khoshvaght-Aliabadi M, Hormozi F & Zamzamian A (2014), Role of channel shape on performance of plate-fin heat exchangers: Experimental assessment. Int J Therm Sci 79, 183–193

      [5] Tavakoli E & Hosseini R (2010), Pressure losses and flow patterns in 3D axial flow between corrugated plates. Energy Convers Manag 51, 2442–2448

      [6] Heidary H, Abbassi A & Kermani MJ (2013), Enhanced heat transfer with corrugated flow channel in anode side of direct methanol fuel cells. Energy Convers Manag 75, 748–760

      [7] Bahiraei M & Hangi M (2013), Investigating the efficacy of magnetic nanofluid as a coolant in double-pipe heat exchanger in the presence of magnetic field. Energy Convers Manag 76, 1125–1133

      [8] Rush T, Newell T & Jacobi A (1999), An experimental study of flow and heat transfer in sinusoidal wavy passages. Int J Heat Mass Transf 42, 1541–1553

      [9] Fabbri G (2000), Heat transfer optimization in corrugated wall channels. Int J Heat Mass Transfer 43, 4299–4310

      [10] Bahaidarah HMS, Anand NK & Chen HC (2005), Numerical study of heat and momentum transfer in channels with wavy walls. Numerical Heat Transfer, Part A : Applications 47(5), 417–439

      [11] Wang C & Chen C (2002), Forced convection in a wavy-wall channel. Int J Heat Mass Transfer 45, 2587–2595

      [12] Mohamed N, Khedidja B, Belkacem Z & Michel D (2007), Numerical study of laminar forced convection in entrance region of a wavy wall channel. Numer Heat Tr A-Appl 53(1), 35–52

      [13] Sparrow EM & Hossfeld LM (1984), Effect of rounding of protruding edges on heat transfer and pressure drop in a duct. Int J Heat Mass Transf 27,1715–1723

      [14] Brien J & Sparrow EM (1982), Corrugated-duct heat transfer, pressure drop and flow visualization. Int J Heat Transf 104, 410–416

      [15] Zhang L & Che D (2011), Influence of corrugation profile on the thermalhydraulic performance of cross-corrugated plates. Numer Heat Tr A-Appl 59(4), 267–296

      [16] Li Z & Gao Y (2017), Numerical study of turbulent flow and heat transfer in cross-corrugated triangular ducts with delta-shaped baffles. Int J Heat Mass Transf 108, 658–670

      [17] Oyakawa K, Shinzato T & Mabuchi I (1989), The effects of the channel width on heat transfer augmentation in a sinusoidal wave channel. JSME International Journal 32(3), 403–410

      [18] Sparrow EM & Chuck W (1987), Pc solutions for heat transfer and fluid flow downstream of an abrupt, asymmetric enlargement in a channel. Numer Heat Transf 12, 19–40

      [19] Aung W (1983), An Experimental Study of Laminar. J Heat Transfer 105(4), 823–829

      [20] Iwai H, Nakabe K & Suzuki K (2000), Flow and heat transfer characteristics of backward-facing step laminar flow in a rectangular duct. Heat Mass Transf 43, 457–471

      [21] Nie JH & Armaly BF (2002), Three-dimensional convective flow adjacent to backward-facing step - effects of step height. Int J Heat Mass Transf 45, 2431–2438

      [22] Saldana JGB, Anand NK & Sarin V (2005), Forced convection over a three-dimensional horizontal backward facing step. Int. J. Comput. Methods Eng. Sci Mech. 6(4), 225–234

      [23] Armaly B, Li A & Nie J (2002), Three-dimensional forced convection flow adjacent to backward-facing step. J Thermophys Heat Transf 16 (2), 222–227

      [24] Lan H, Armaly BF & Drallmeier JA (2009), Three-dimensional simulation of turbulent forced convection in a duct with backward-facing step. Int J Heat Mass Transf 52, 1690–1700

      [25] Chen Y (2006), Turbulent separated convection flow adjacent to backward-facing step effects of step height. Int J Heat Mass Transf 49, 3670–3680

      [26] Kherbeet AS, Mohammed HA& Salman BH (2012), The effect of nanofluids flow on mixed convection heat transfer over microscale backward-facing step. Int J Heat Mass Transf 55, 5870–5881

      [27] Habib M & Mobarak A (1994), Experimental investigation of heat transfer and flow over baffles of different heights. J Heat Transfer 116, 363–368

      [28] Heshmati A, Mohammed HA & Darus AN (2014), Mixed convection heat transfer of nanofluids over backward facing step having a slotted baffle. Appl Math Comput 240, 368–386

      [29] Yu W, France DM, Routbort JL & Choi SUS (2008), Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transf Eng 29, 432–460

      [30] Wang XQ & Mujumdar AS (2007), Heat transfer characteristics of nanofluids: a review. Int J Therm Sci 46, 1–19

      [31] Wong KV & Castillo MJ (2010), Heat transfer mechanisms and clustering in nanofluids. Adv Mech Eng 2, 795478

      [32] Kakaç S & Pramuanjaroenkij A (2009), Review of convective heat transfer enhancement with nanofluids. Int J Heat Mass Transfer 52

      [33] Bheekhun N, Abu Talib AR & Hassan MR (2013), Aerogels in aerospace: An overview. Adv Mater Sci Eng 2013, 406065

      [34] Pierre AC & Pajonk GM (2002), Chemistry of aerogels and their applications. Chem Rev 102, 4243–4265

      [35] Ahammed N, Asirvatham LG, Titus J, Bose JR & Wongwises S (2016), Measurement of thermal conductivity of graphene-water nanofluid at below and above ambient temperatures. Int Commun Heat Mass Transf 70, 66–74

      [36] Ranjbarzadeh R, Meghdadi Isfahani AH, Afrand M, Karimipour A & Hojaji M (2017), An experimental study on heat transfer and pressure drop of water/graphene oxide nanofluid in a copper tube under air cross-flow. Appl Therm Eng 125, 69–79

      [37] Nazari M, Ghasempour R, Ahmadi M, Heydarian G & Shafii M (2018), Experimental investigation of graphene oxide nanofluid on heat transfer enhancement of pulsating heat pipe. Int Commun Heat Mass Transf 91, 90–94

      [38] Bigdeli MB, Fasano M, Cardellini A, Chiavazzo E & Asinari P (2016), A review on the heat and mass transfer phenomena in nanofluid coolants with special focus on automotive applications. Renew Sustain Energy Rev 60, 1615–1633

      [39] Zhu H, Lin Y & Yin Y (2004), A novel one-step chemical method for preparation of copper nanofluids. J Colloid Interface Sci 277

      [40] Akoh H, Yukihiro Tsukasaki S & Tasaki A (1978), Magnetic properties of ferromagnetic ultrafine particles prepared by vacuum. J Cryst Growth 45, 495–500

      [41] Eastman J, Choi S, Li S, Yu W & Thompson L (2001), Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticle. Appl Phys Lett 78

      [42] Nikkam N, Ghanbarpour M, Saleemi M, Haghighi E, Khodabandeh R, Muhammed M, Palm B & Toprak MS (2014), Experimental investigation on thermo-physical properties of copper / diethylene glycol nanofluids fabricated via microwave-assisted route. Appl Therm Eng 65, 158–165

      [43] Mahbubul IM, Saidur R & Amalina MA (2012), Latest developments on the viscosity of nanofluids. Int J Heat Mass Transfer 55

      [44] Chopkar M, Das PK & Manna I (2006), Synthesis and characterization of nanofluid for advanced heat transfer applications. Scr Mater 55, 549–552

      [45] Hajipour M & Molaei Dehkordi A (2014), Mixed-convection flow of Al2O3-H2O nanofluid in a channel partially filled with porous metal foam: Experimental and numerical study. Exp Therm Fluid Sci 53, 49–56

      [46] Murshed S, Leong K & Yang C (2005), Enhanced thermal conductivity of TiO2 water based nanofluids. Int J Therm Sci 44, 367–373

      [47] Li X, Zhu D & Wang X (2007), Evaluation on dispersion behavior of aqueous copper nano-suspensions. J Colloid Interface Sci 310

      [48] Hwang Y, Lee JK, Lee CH, Jung YM, Cheong SI, Lee CG, Ku BC & Jang SP (2007), Stability and thermal conductivity characteristics of nanofluids. Thermochimica Acta 455(1-2), 70–74

      [49] Hwang Y, Park H, Lee J & Jung W (2006), Thermal conductivity and lubrication characteristics of nanofluids. Curr Appl Phys 6

      [50] Tzeng S, Lin C, Huang KD & Hua C (2005), Heat transfer enhancement of nanofluids in rotary blade coupling of four-wheel-drive vehicles. Acta Mechanica 23, 11–23

      [51] Chein R & Huang G (2005), Analysis of microchannel heat sink performance using nanofluids. Appl. Therm. Eng. 25, 3104–3114

      [52] Hussein AM & Kadirgama RABK (2014), Heat transfer augmentation of a car radiator using nanofluids. Heat and Mass Transfer 50

      [53] Koo J & Kleinstreuer C (2005), Laminar nanofluid flow in microheat-sinks. Int J Heat Mass Transf 48, 2652–2661

      [54] Prasher R, Song D, Wang J & Phelan P (2006), Measurements of nanofluid viscosity and its implications for thermal applications. Appl Phys Lett 89, 67–70

      [55] Chen H, Ding Y, He Y & Tan C (2007), Rheological behaviour of ethylene glycol based titania nanofluids. Chem Phys Lett 444

      [56] Lee J, Hwang K, Jang S, Lee B, Kim J, Choi S & Choi C (2008), Effective viscosities and thermal conductivities of aqueous nanofluids containing low volume concentrations of Al2O3 nanoparticles. Int J Heat Mass Transf 51, 2651–2656

      [57] Mohammed HA, Al-Aswadi AA, Shuaib NH & Saidur R (2011), Convective heat transfer and fluid flow study over a step using nanofluids: A review. Renew Sustain Energy Rev 15, 2921–2939

      [58] Landauer R (1952), The electrical resistance of binary metallic mixtures. J Appl Phys 23, 779–784

      [59] Jeffrey DJ (1973), Conduction through a random suspension of spheres. Proc R Soc A Math Phys Eng Sci 335, 355–367

      [60] Davis RH (1986), The effective thermal conductivity of a composite material with spherical inclusions. Int J Thermophys 7, 609–620

      [61] Rayleigh L (1892), On the influence of obstacles arranged in rectangular order upon the properties of a medium. London, Edinburgh, Dublin Philos Mag J Sci 5, 481–502

      [62] James WB & Harbor CS (1951), The maxwell-wagner dispersion in a suspension of ellipsoids. J Phys Chem 57, 934–937

      [63] Benveniste Y (1987), Effective thermal conductivity of composites with a thermal contact resistance between the constituents: Nondilute case. J. Appl. Phys. 61(8), 2840

      [64] Hasselman D & Johnson L (1987), Effective thermal conductivity of composites with interfacial thermal barrier resistance. J Compos Mater 21, 508–515

      [65] Benveniste Y & Miloh T (1991), On the effective thermal conductivity of coated short-fiber composites. J. Appl. Phys. 69(3), 1337

      [66] Lu S & Song J (1996), Effective conductivity of composites with spherical inclusions: Effect of coating and detachment. J. Appl. Phys. 79(2), 609

      [67] Wang BX, Zhou LP & Peng XF (2003), A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. Int J Heat Mass Transf 46, 2665–2672

      [68] Prasher R, Phelan PE & Bhattacharya P (2006), Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid ). Nano Letters 6(7), 1529–1534

      [69] Xuan Y & Li Q (2013), Investigation on convective heat transfer and flow features of nanofluids. J Heat Transfer 125, 151–155

      [70] Koo J & Kleinstreuer C (2004), A new thermal conductivity model for nanofluids. J Nanoparticle Res 6, 577–588

      [71] Prasher R, Bhattacharya P & Phelan P (2005), Thermal conductivity of nanoscale colloidal solutions (nanofluids). Phys. Rev. Lett. 94

      [72] Yu W & Choi SUS (2003), The role of interfacial layers in the enhanced thermal conductivity of nanofluids : A renovated Maxwell model. J Nanoparticle Res 5(1-2), 167–171

      [73] Yu W & Choi SUS (2004), The role of interfacial layers in the enhanced thermal conductivity of nanofluids : A renovated Hamilton – Crosser model. J Nanoparticle Res 6(4), 355–361

      [74] Xie H, Fujii M & Zhang X (2005), Effect of interfacial nanolayer on the effective thermal conductivity of nanoparticle-fluid mixture. Int J Heat Mass Transfer 48, 2926–2932

      [75] Ren Y, Xie H & Cai A (2005), Effective thermal conductivity of nanofluids containing spherical nanoparticles. J. Phys. D: Appl. Phys. 38(21), 3958

      [76] Wang X, Xu X & Choi S (1999), Thermal conductivity of nanoparticle – fluid mixture. J Thermophys Heat Tr. 13, 474–480

      [77] Lee S, Choi S, Li S & Eastman JA (1999), Measuring thermal conductivity of fluids containing oxide nanoparticles. J Heat Transfer 121(2), 280–289

      [78] Das SK, Putra N & Roetzel W (2003), Pool boiling of nano-fluids on horizontal narrow tubes. Int J Multiph Flow 29, 1237–1247

      [79] Das SK, Putra N & Roetzel W (2003), Pool boiling characteristics of nano-fluids. Int J Heat Mass Transf 46, 851–862

      [80] Xie H, Wang J, Xi T & Liu Y (2002), Thermal conductivity of suspensions containing nanosized SiC particles. Int J Thermophys 23, 571–580

      [81] Xie H, Wang J, Xi T, Liu Y, Ai F & Wu Q (2002), Thermal conductivity enhancement of suspensions containing nanosized alumina particles. J Appl Phys 91, 4568–4572

      [82] Li C & Peterson G (2006), Experimental investigation of temperature and volume fraction variations on the effective thermal conductivity of nanoparticle suspensions (nanofluids). J Appl Phys 99

      [83] Wen D & Ding Y (2004), Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions. Int J Heat Mass Transf 47, 5181–5188

      [84] Wen D & Ding Y (2004), Effective thermal conductivity of aqueous suspensions of carbon nanotubes (carbon nanotube nanofluids). J Thermophys Heat Transf 18, 481–485

      [85] Das SK, Putra N, Thiesen P & Roetzel W (2003), Temperature dependence of thermal conductivity enhancement for nanofluids. J Heat Transfer 125, 567

      [86] Paul G, Chopkar M, Manna I & Das PK (2010), Techniques for measuring the thermal conductivity of nanofluids: A review. Renew Sustain Energy Rev 14, 1913–1924

      [87] Garg J, Poudel B, Chiesa M, Gordon JB, Ma JJ, Wang JB, Ren ZF, Kang YT, Ohtani H, Nanda J, McKinley GH & Chen G (2008), Enhanced thermal conductivity and viscosity of copper nanoparticles in ethylene glycol nanofluid. J Appl Phys 103, 074301

      [88] Oh DW, Jain A, Eaton JK, Goodson KE & Lee JS (2008), Thermal conductivity measurement and sedimentation detection of aluminum oxide nanofluids by using the 3ω method. Int J Heat Fluid Flow 29, 1456–1461

      [89] Kurt H & Kayfeci M (2009), Prediction of thermal conductivity of ethylene glycol-water solutions by using artificial neural networks. Appl Energy 86, 2244–2248

      [90] Li C, Williams W, Buongiorno J, Hu L & Peterson G (2008), Transient and steady-state experimental comparison study of effective thermal conductivity of Al2O3∕water nanofluids.J Heat Transfer 130

      [91] Hong SW, Kang YT, Kleinstreuer C & Koo J (2011), Impact analysis of natural convection on thermal conductivity measurements of nanofluids using the transient hot-wire method. Int J Heat Mass Transf 54, 3448–3456

      [92] Kherbeet AS, Mohammed HA, Salman BH, Ahmed HE & Alawi OA (2014), Experimental and numerical study of nanofluid flow and heat transfer over microscale backward-facing step. Int J Heat Mass Transf 79, 858–867

      [93] Liao L & Liu ZH (2009), Forced convective flow drag and heat transfer characteristics of carbon nanotube suspensions in a horizontal small tube. Heat Mass Transf 45, 1129–1136

      [94] Chen H, Yang W, He Y, Ding Y, Zhang L, Tan C, Lapkin A & Bavykin D (2008), Heat transfer and flow behaviour of aqueous suspensions of titanate nanotubes (nanofluids). Powder Technol 183, 63–72

      [95] Hwang KS, Jang SP & Choi SUS (2009), Flow and convective heat transfer characteristics of water-based Al2O3 nanofluids in fully developed laminar flow regime. Int J Heat Mass Transf 52, 193–199

      [96] He Y, Jin Y, Chen H, Ding Y, Cang D & Lu H (2007), Heat transfer and flow behaviour of aqueous suspensions of TiO2 nanoparticles (nanofluids) flowing upward through a vertical pipe. Int J Heat Mass Transf 50, 2272–2281

      [97] Chandrasekar M & Suresh S (2011), Experiments to explore the mechanisms of heat transfer in nanocrystalline alumina/water nanofluid under laminar and turbulent flow conditions. Exp Heat Transf 24, 234–256

      [98] Vajjha R, Das D & Ray D (2015), Development of new correlations for the Nusselt number and the friction factor under turbulent flow of nanofluids in flat tubes. Int J Heat Mass Transf 80, 353–367

      [99] Abu-Nada E (2008), Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step. Int J Heat Fluid Flow 29, 242–249

      [100] Pak B & Cho Y (1998), Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transf 11, 151–170

      [101] Togun H, Ahmadi G, Abdulrazzaq T, Shkarah A, Kazi SN, Badarudin A & Safaei MR (2015), Thermal performance of nanofluid in ducts with double forward-facing steps. J Taiwan Inst Chem Eng 47, 28–42

      [102] Pandey SD & Nema VK (2012), Experimental analysis of heat transfer and friction factor of nanofluid as a coolant in a corrugated plate heat exchanger. Exp Therm Fluid Sci 38, 248–256

      [103] Duangthongsuk W & Wongwises S (2010), An experimental study on the heat transfer performance and pressure drop of TiO2-water nanofluids flowing under a turbulent flow regime. Int J Heat Mass Transf 53, 334–344

      [104] Xuan Y & Roetzel W (2000), Conceptions for heat transfer correlation of nanofluids. Int J Heat Mass Transf 43, 3701–3707

      [105] Qiang L & Yimin X (2002), Convective heat transfer and flow characteristics of Cu-water nanofluid. Science 45, 408–416

      [106] Jang SP & Choi SUS (2006), Cooling performance of a microchannel heat sink with nanofluids. Appl Therm Eng 26, 2457–2463

      [107] Lee S & Choi SUS (1996), Application of metallic nanoparticle suspensions in advanced cooling systems. Am Soc Mech Eng Press Vessel Pip Div PVP 342, 227–234

      [108] Lee J & Mudawar I (2007), Assessment of the effectiveness of nanofluids for single-phase and two-phase heat transfer in micro-channels. Int J Heat Mass Transf 50, 452–463

      [109] Chein R & Chuang J (2007), Experimental microchannel heat sink performance studies using nanofluid. Int J Therm Sci 46,57-66

      [110] Yang Y, Zhang ZG, Grulke EA, Anderson WB & Wu G (2005), Heat transfer properties of nanoparticle-in-fluid dispersions (nanofluids) in laminar flow. Int J Heat Mass Transf 48, 1107–1116

      [111] Wen D & Ding Y (2005), Formulation of nanofluids for natural convective heat transfer applications. Int J Heat Fluid Flow 26, 855–864

      [112] Putra N, Roetzel W & Das SK (2003), Natural convection of nano-fluids. Heat Mass Transf 39, 775–784

      [113] Khanafer K, Vafai K & Lightstone M (2003), Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int J Heat Mass Transf 46, 3639–3653

      [114] Al-aswadi AA, Mohammed HA, Shuaib NH & Campo A (2010), Laminar forced convection flow over a backward facing step using nanofluids. Int Commun Heat Mass Transf 37, 950–957

      [115] Mohammed HA, Al-Aswadi AA, Abu-Mulaweh HI & Shuaib NH (2011), Influence of nanofluids on mixed convective heat transfer over a horizontal backward-facing step. Heat Transf - Asian Res 40, 287–307

      [116] Kherbeet AS, Mohammed HA, Ahmed HE, Salman BH, Alawi OA, Safaei MR & Khazaal MT (2016), Mixed convection nanofluid flow over microscale forward-facing step - Effect of inclination and step heights. Int Commun Heat Mass Transf 78, 145–154

      [117] Esmaeili M, Sadeghy K & Moghaddami M (2010), Heat transfer enhancement of wavy channels using Al2O3 nanoparticles. J Enhanc Heat Transf 17, 139–151

      [118] Heidary H & Kermani MJ (2010), Effect of nano-particles on forced convection in sinusoidal-wall channel. Int Commun Heat Mass Transf 37, 1520–1527

      [119] Rostami J (2007), Convective heat transfer in a wavy channel utilizing nanofluids. J Enhanc Heat Transf 14, 333–352

      [120] Ozbolat V & Sahin B (2013), Numerical investigations of heat transfer enhancement of water-based Al2O3 nanofluids in a sinusoidal-wall channel. ASME International Mechanical Engineering Congress and Exposition

      [121] Tiwari AK, Ghosh P & Sarkar J (2015), Particle concentration levels of various nanofluids in plate heat exchanger for best performance. Int J Heat Mass Transf 89, 1110–1118

      [122] Khoshvaght-Aliabadi M (2014), Influence of different design parameters and Al2O3-water nanofluid flow on heat transfer and flow characteristics of sinusoidal-corrugated channels. Energy Convers Manag 88, 96–105

      [123] Khoshvaght-Aliabadi M, Tatari M & Salami M (2017), Analysis on Al2O3 /water nanofluid flow in a channel by inserting corrugated/perforated fins for solar heating heat exchangers. Renew Energy 115, 1099–1108

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    Hilo, A., Rahim Abu Talib, A., R. Nfawa, S., Thariq Hameed Sultan, M., & Faisal Abdul Hamid, M. (2018). Review of improvements on heat transfer using nanofluids via corrugated facing step. International Journal of Engineering & Technology, 7(4.13), 160-169. https://doi.org/10.14419/ijet.v7i4.13.21350

    Received date: 2018-10-09

    Accepted date: 2018-10-09

    Published date: 2018-10-09