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Unit Operation and Process Heat Transfer Widelia Ika Putri, S.T.P., M.Sc. LOGO [email protected] Pasteurization of milk, juice, etc. Refrigeration of fruits and vegetables. Meat freezing. Thermal sterilization in canned food. Evaporation Distillation Drying March 2012 [email protected] Heat transfer A dynamic process in which heat is transferred spontaneously from one body to another a lower temperature body. The rate of heat transfer depends upon the differences between the bodies, the greater the difference in temperature, the greater the rate of heat transfer. Temperature difference between the source of heat and the receiver of heat is therefore the driving force in heat transfer. An increase in the temperature difference increases the driving force and therefore increases the rate of heat transfer. March 2012 [email protected] Heat transfer Conduction Convection Radiation March 2012 [email protected] Rate of transfer = driving force / resistance Rate of heat transfer = temperature difference / heat flow resistance of medium. March 2012 [email protected] Ohm’s Law The rate of transport (the quantity transported per unit time) is proportional to the driving force and inversely proportional to the resistance of the medium to the transport. March 2012 [email protected] q = dQ/dt = the rate of heat transfer F = driving force R = resistance of the medium to heat transfer k = conductance of the medium to heat transfer Heat flux (J) = the rate of transport proportional to the area A available to the transport (the rate of transport per unit area) => q/A March 2012 [email protected] Steady State Conductive Heat Transfer Steady state => all the properties that define the ‘state’ of the system (temperature, pressure, chemical composition, etc.) remain constant with time. Fourier’s 1st Law March 2012 [email protected] Q = heat transferred (J) T = temperature (K) t = time (s) k = thermal conductivity of the medium (J/s.m.K)(W/m.K) z = distance in the direction of the transport (m) March 2012 [email protected] Thermal conductivity • A property of the material (the material’s ability to transfer heat). Thermal diffusivity • The ratio of thermal conductivity to the “volumetric heat capacity” of material (the ratio of the material’s ability to transfer heat to its capacity to store heat). March 2012 [email protected] Soal 1. Hitung kecepatan transfer panas dari bahan 3x4 m, tebal 0,2m, di satu sisi 0oC dan di sisi lainnya 35oC. Jika bahan tersebut adalah: a. alumunium; b. kuningan; c. besi; d. tembaga; e. karet March 2012 [email protected] Sweat (1986) k = 0.25Xc + 0.155Xp + 0.16Xf + 0.135Xa + 0.58Xw X = mass fraction c = carbohydrate p = protein f = fat a = ash w = water March 2012 [email protected] Soal 1. Hitung thermal conductivity dari bahan berikut ini: food Water (%) Protein (%) Fat (%) Carbohydrate (%) Apel 84.1 0.3 0.4 14.9 Brokoli 89.9 3.3 0.2 5.5 Tepung gandum 12.0 9.2 1.0 73.8 Susu sapi 87.0 3.5 3.9 4.9 Ayam panggang 66.0 20.2 12.6 0 Ikan cod 82.6 16.5 0.4 0 Almond 4.7 18.6 54.1 19.6 March 2012 [email protected] Steady State Conduction through a Single Slab March 2012 [email protected] Steady State Conduction through a Multilayer Slab March 2012 [email protected] Soal 1. Dinding dari ruang penyimpan tersusun dari 3 lapisan, dari yang terdalam: • Stainless steel, tebal 2mm • Thermal insulation, tebal 80mm (k = 0.03 J/s.m.C) • Beton, tebal 150mm Bila sisi terdalam adalah -18oC dan sisi terluar 20oC, hitung flux panas yang melalui dinding? March 2012 [email protected] Steady State Conduction through a Cylinder Slab March 2012 www.themegallery.com Soal 1. Pipa baja berdiameter 5cm membawa uap air pada 150oC. Pipa disekat dengan lapisan penyekat silinder ketebalan 3cm (k=0.03W/mK). Hitung kecepatan panas hilang per meter panjang pipa, jika suhu lapisan terluar adalah 35oC? Company Logo [email protected] Steady State Convective Heat Transfer Convection Natural Convection Forced Convection The movement is caused by heat transfer itself. The movement is caused by factor independent of the transfer. March 2012 [email protected] A stationary layer (film) of fluid which in contact with the solid’s surface -> thickness δ Temperature in the bulk -> T2; temperature in the boundary layer -> T1 A coefficient convective of heat transfer -> March 2012 [email protected] h -> depends on the properties of the fluid (specific heat, viscosity, density, and thermal conductivity), the turbulence (average velocity), and the geometry of the system -> these parameters are dimensionless group used in heat transfer. March 2012 [email protected] vertical sphere Natural convection March 2012 [email protected] Soal 1. Papan gabus tebal 10 cm pada satu sisi bersuhu -12oC dan sisi lain 21oC. Berapa kecepatan transfer panas melalui 1m2 dinding? 2. Sebuah cold storage memiliki dinding yang tersusun dari: 11 cm batu bata pd bag. terluar, kmdn 7,5 cm beton, dan 10 cm gabus. Suhu rata2 di bag. dalam -18oC dan di bagian luar dinding 18oC. Hitung kecepatan transfer panas melalui 1m2 dinding? March 2012 [email protected] Soal 1. Hitung kecepatan panas yang hilang dari dinding vertical suatu oven dengan konveksi alami. Suhu dinding 50oC dan di udara ambient 20oC. Tinggi dinding 1.2m dan lebar 3m? March 2012 [email protected] turbulent viscous Forced convection sphere March 2012 [email protected] Soal 1. Jus jeruk, didinginkan, mengalir dengan kecepatan 4m3/jam melalui pipa berdiameter 0.05m. Sifat dari jus jeruk pada suhu pengolahan adalah: ρ= 1060kg/m3; µ= 3.10-3Pa.s; cp= 3900J/kg.K; k= 0.54 W/m.K. Hitung koeffisien panas konveksi antara jus jeruk yang mengalir di dalam pipa dengan dinding pipa? March 2012 [email protected] 2. Gandum pipilan dikeringkan dengan udara panas dalam aliran turbulent di fluidized bed dryer. Kecepatan udara 0.5m/s dengan suhu 93oC. Pipilan gandum diasumsikan berbentuk bulat dengan diameter 1mm. Hitung koeffisien transfer panas konveksi? March 2012 [email protected] Radiation Radiation covers a vast array of phenomena that involve energy transport in the form of waves, in the wavelength range of 10-7 to 10-4 m. Radiation => cooling the emitting body and heating the receiving body. > 0oK => all substances emit electromagnetic radiation. Heat transfer by radiation does not require the presence of material medium. March 2012 [email protected] Black body => a body that absorb the incident radiation totally; the absorbtivity of black body is unity and its reflectivity and transmissivity are both zero. March 2012 [email protected] Emmisivity (ε) => the ratio of emissive power of a real body to that of a black body at the same temperature; always less than unity. March 2012 [email protected] Soal 1. Hitung net heat transfer dengan radiasi dari sebongkah roti di oven pada suhu 177oC, jika emissivitasnya 0,85 dgn total luas area 0.0645 m2 dan suhu 100oC? March 2012 www.themegallery.com Heat Exchanger Device for the exchange of heat between two fluids separated by partition. The partition is a heat conducting solid wall, usually made of metal. Extensively used in the food industry for heating (e.g. pasteurizer), cooling (chilled water generator), and heat induced phase change (freezing, evaporation). Company Logo www.themegallery.com Flow Pattern 1 Parallel flow 2 Countercurrent flow 3 Cross flow Company Logo www.themegallery.com Company Logo www.themegallery.com Jacketed Pan Kumparan pemanas Plate Heat Exchanger Company Logo LOGO