# effectiveness formula for heat exchanger

k�J�U:3 Gz E"�+0u��9_q�� n^�(�P�G�J�%q����M�#�QE��Q\$6A���[���m/��Q)\�=)��u������C�KȍA��F��K���N��9/��4}H`�g3� :?7�9^Z(���T Fig. The effectiveness of a heat exchanger is defined as the ratio of actual beat transfer to the maximum possible heat transfer. It is assumed for the sake of calculations that the following conditions exist: Floor area: 1500 square feet (ft2) Number of bedrooms: 3. Heat Exchanger Analysis – Heat Exchanger Calculation. [ /ICCBased 11 0 R ] The efficiency of all heat exchangers is determined from a single algebraic expression. Fig.4 Heat Recovery Wheel Labelling. endobj Continue Reading. Though perfect performance is calculable, it is unfeasible in the real world, because of the thermodynamic limitation that states nothing can be 100% efficient. 5 0 obj Typical ranges of U values for various heat exchanger/fluid combinations are available in textbooks, handbooks and on websites. For any heat exchanger system, the overall heat transfer rate (Q) is defined as -. where, Q = overall heat transfer rate U = Overall heat transfer coefficient A Overall = Overall heat transfer surface ares LMTD = … << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs2 8 0 R /Cs1 7 0 R >> /Font << Box 30, State College, Pennsylvania 16804-0030 ~Received 29 July 2003; revised 14 February 2004; accepted 1 March 2004! Phase Change 7. XG��ůUS[���I���J���*\$�:7���鶪O{�7�@�Hb{����IS�*�IH{��!&�U�vb'S�\���9�9�;�^�D=_i��U������\$�����M�ҳ�Kԫ�N-���.����������N�#�z��щ"O�n}�Q��k�K���i�����6��}�x��'=N!? >> 1594 You can compare the current heat transfer rate to the original (rated) heat transfer rate. 6 0 obj 18. Heat Exchanger Analysis – Heat Exchanger Calculation. H��WMo��Ś�G��'�M���ݼ� �!Y9�>%��� ��?����p\$�9�����x�Z5 Two common methods are used to calculate the effectiveness, equations and graphical. Effectiveness = (V2 (t1-t2))/(Vmin (t1-t3)) Where, t1 – Inlet supply fresh air DB temp (°C) (Atmospheric Air before Heat Exchanger) t2 – Outlet Supply Fresh Air DB temp (°C) (Atmospheric Air after Heat Exchanger) t3 – Inlet Exhaust Air DB temp (°C) (RA from building) V1 – Supply Air Flow (L/s) The effectiveness-NTU method is implemented in in effectiveness_from_NTU and NTU_from_effectiveness. Thermal effectiveness of the heat exchanger in the P-NTU method, calculated with respect to stream 1 [-] Notes. endobj 2.2.1. Heat exchanger goal : get energy from one ﬂuid mass to another. Below is a list of equations that apply to different situations. endobj The following set of equations shows the cost-effectiveness of an air-to-air heat exchanger installed in a home with low infiltration levels in Fargo, N.D. The 50% ethylene glycol at a rate of 0.47 kg/s enters at 90°C. A is the overall heat transfer surface area. Heat exchangers are commonly used in industry, and proper design of a heat exchanger depends on many variables. Details. Constant specific heat 8. A heat exchanger can have several different flow patterns. A heat exchanger is a system used to transfer heat between two or more fluids.Heat exchangers are used in both cooling and heating processes. d�iE��W�ĉK���J�_�2�ܚc��)&�x/\$��N�! Alternatively, one could just recognize this situation at the start and eliminate the foregoing preliminary analysis. Ten tubes pass water through the shell. So, there is no analytical formula for their effectiveness, but just a table of numbers or a diagram. In addition, we will examine various aspects of heat exchanger design and analysis. Overall heat transfer in any exchanger is governed by the following equation - Equation-1. 2 0 obj �� �N�,���?�x^�T::jj+�ZṓT���]�&��g4er45L�P�8Cjt�Ŵ�(�u�G� ^'#�wGIw����o�h��f ��> X�,�?n�o^RqH���R��!m��F㵫�s1��1�۵����Z/�ZvaG:՗��I��Mi�aw+�kj\Z����@B�� �Ǹo8II��D��o��P�s�xA ����T\$ The rate of flow of oil is 1 kg/s. Consider a parallel-flow heat exchanger, which is used to cool oil from 70°C to 40°C using water available at 30°C.The outlet temperature of the water is 36°C. Below we illustrate the de- velopment of the effectiveness e relation for the double-pipe parallel-flow heat exchanger. ing!, the heat exchanger, a ﬁlter, a turbine ﬂow meter, the guard heat exchanger, and back to the chiller. Parallel flow heat exchangers 3. Effectiveness of parallel-plate heat exchangers in thermoacoustic devices Ray Scott Wakeland and Robert M. Keoliana) The Pennsylvania State University, Graduate Program in Acoustics and Applied Research Laboratory, P. O. 13 0 obj Heat exchanger calculations could be made for the required heat transfe… Data Calculate. here F (< 1) is interpreted as a geometric correction factor, that when applied to the LMTD (Log Mean Temperature Difference) of a counter flow heat exchanger, provides the effective temperature difference of the heat exchanger under consideration. 11 0 obj Heat Exchanger (TL-TL) Heat exchanger for systems with two thermal liquid flows: Heat Exchanger (TL-MA) Models heat exchange between a moist air network and a thermal liquid network × MATLAB Command. and ΔT is the mean temperature difference between hot and cold side. }#g��y��;�Xs7�l���1Uj��c_����i��y�� The value of depends on the heat-exchanger geometry and flow pattern (parallel flow, counterflow, cross flow, etc.). H = 1.08 q (t 2 - t 1) η (1) where. endobj x�XKoG���()�Y ���6�r�Ŏ�^�w?��J�Pj������ʁÎ�����s�~�3jj]��;��h�]M�U�7uM��:�������3���P���j��*[��`=��, �N3 �O��혎z�(�*���5��6V,��^I���Mܲ�cK��@U(�ư*��˶M�fZp�gj�\$73����B1��UF����?#~F����:Iw�b�m�t�����ߞ#�r��{��%#�>�ߨ�qE,�Rq(���V���>�Td���q:�D�#�B�N�t�A߮�wZ�D���H�ٕ~�د���;h�ܷ��#���_%߉a���d2x��Hn���_��h�Z;*�J�� The basic component of a heat exchanger can be viewed as a tube with one fluid running through it and another fluid flowing by on the outside. The effectiveness of a heat exchanger depends on the geometry of the heat exchanger as well as the flow arrangement. Heat exchangers are devices that facilitate the exchange of heat between two fluids with high effectiveness and low investment and low maintenance cost. endobj t1 = temperature in outside make-up air before the heat exchanger (oC, oF) t2 = temperature in outside make-up air after the heat exchanger (oC, oF) t3 = temperature in outlet air before the heat exchanger (oC, oF) 12 0 obj Infiltration rate: 0.1 air exchanges per hour (ACH) or 10 hours for a complete air exchange. A typical graphical relationship is shown in Fig. Example 5.2 Miniature Shell-and-Tube Heat Exchanger A miniature shell-and-tube heat exchanger is designed to cool engine oil in an engine with the engine coolant (50% ethylene glycol). When a heat exchanger has been in operation for a while, its performance decreases for a variety of reasons - such as, fouling, scaling, corrosion etc. The heat exchanger design equation can be used to calculate the required heat transfer surface area for a variety of specified fluids, inlet and outlet temperatures and types and configurations of heat exchangers, including counterflow or parallel flow. 5 Heat Exchangers The general function of a heat exchanger is to transfer heat from one fluid to another. A counterflow heat exchanger will require less heat exchange surface area than a parallel flow heat exchanger for the same heat transfer rate and the same inlet and outlet temperatures for the fluids. Keywords: Effectiveness; NTU; Heat exchangers; Mathematical model. In this chapter we will examine the basic theory of heat exchangers and consider many applications. Below is a list of equations that apply to different situations.