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\title{Steady State Thermal Analysis of Shell and Tube Type Heat Exchanger to Demonstrate the Heat Transfer Capabilities of Various Thermal Materials using Ansys}
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             \author[1]{party  vikas}

             \author[2]{RAJ RAJAT  VERMA}

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\date{\small \em Received: 13 December 2013 Accepted: 2 January 2014 Published: 15 January 2014}

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\begin{abstract}
        


This paper consists of a simplified model of counter flow shell and tube type heat exchanger having both interacting liquids as water. In this paper we have first designed a shell and tube heat exchanger to cool water from 55? to 45? by water at room temperature. The design has been done using Kern?s method in order to obtain various dimensions such as shell, tubes, baffles etc. A computer model using ANSYS 14.0 has been developed by using the derived dimensions of heat exchanger. Then the steady state thermal simulation in ANSYS has been performed by applying several thermal loads on different faces and edges. The heat transfer capabilities of several thermal materials has been compared by assigning different materials to various parts such as tubes, baffles, shell. The materials chosen were of great importance and widely used in practice such as Copper, Aluminium, Steel 1008, Steel 1010.The result obtained shows that by assigning copper to all the parts we have got the best possible value of thermal flux amongst the discussed materials, however other combinations of materials are also expected and under investigation for handy, more economic and useful solution to the problem, which has been discussed in detail inside the paper.

\end{abstract}


\keywords{counter flow shell and tube type heat exchanger, kern?s method, ansys 14.0, steady state thermal simulation, thermal materials.}

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\let\tabcellsep& 	 	 		 \par
Abstract-This paper consists of a simplified model of counter flow shell and tube type heat exchanger having both interacting liquids as water. In this paper we have first designed a shell and tube heat exchanger to cool water from 55? to 45? by water at room temperature. The design has been done using Kern's method in order to obtain various dimensions such as shell, tubes, baffles etc. A computer model using ANSYS 14.0 has been developed by using the derived dimensions of heat exchanger. Then the steady state thermal simulation in ANSYS has been performed by applying several thermal loads on different faces and edges. The heat transfer capabilities of several thermal materials has been compared by assigning different materials to various parts such as tubes, baffles, shell. The materials chosen were of great importance and widely used in practice such as Copper, Aluminium, Steel 1008, Steel 1010.The result obtained shows that by assigning copper to all the parts we have got the best possible value of thermal flux amongst the discussed materials, however other combinations of materials are also expected and under investigation for handy, more economic and useful solution to the problem, which has been discussed in detail inside the paper.\par
Keywords: counter flow shell and tube type heat exchanger, kern's method, ansys 14. Another fluid flows through the shell which encloses the tubes and other supporting items like baffles, tube header sheets, gaskets etc. The heat exchange between the two fluids takes through the wall of the tubes. In the past decades the design and analysis of Shell and Tube Type Heat Exchanger has been done through various modes viz. theoretically, experimentally, by making software models etc. However a lesser attention has been given on the heat transfer capabilities of the materials. It was due to practical limitations as well as it was also not possible to change the material of tubes or shell again and again and test them under the severe loading conditions. But, now the development of CAD facility has given us the tool by which we may introduce number of materials and their combinations to the actual working conditions, and henceforth find their accuracy and compatibility with the desired functions.\par
The works reviewed that have done the same work in the described field are summarized as follows:\par
Hari Haran et.al proposed a counter flow heat exchanger and after designing it, made a software model using PRO-E by using the derived dimensions and performed the steady state thermal simulation on ANSYS. For simplification of theoretical calculations they have also done a C code which is useful for calculating the thermal analysis of a counter flow of water-oil type shell and tube heat exchanger. They have compared the results obtained after thermal simulation and that obtained from the manual designing and found an error of 0.0274 in effectiveness. Paresh Patel and Amitesh Paul had performed thermal analysis of shell and tube type heat exchanger using ANSYS, and CFD analysis has been carried out for different materials like steel, copper and aluminium and on the basis of results obtained they have described which material gives best heat transfer rates.\par
A. Gopi Chand et.al showed how to do the thermal analysis by using theoretical formulae and for this they had chosen a practical problem of counter flow shell and tube heat exchanger of water and oil type, by using the data that came from theoretical formulae, they designed a model of shell and tube heat exchanger using Pro-E and did the thermal analysis by using FLOEFD software and compared the result that obtained from FLOEFD software and theoretical formulae. For simplification of theoretical calculations they have also done a MATLAB code which is useful for calculating the thermal analysis of a counter flow of water-oil type shell and tube heat exchanger. The result after comparing both was that they were getting an error of 0.023 in effectiveness.\par
P. S. Gowthaman and S. Sathish proposed analysis of two different baffles in a shell and tube heat exchanger by using ANSYS FLUENT. It was found that the use of helical baffles in heat exchanger reduces Shell side pressure drop, pumping cost, weight, fouling etc as compared to segmental baffle for a new installation.\par
Ender Ozden and Ilker Tari had investigated the design of shell and tube heat exchanger by numerically modelling, in particular the baffle spacing, baffle cut and shell diameter dependencies of heat transfer coefficient and pressure drop. The flow and temperature fields are resolved by using a commercial CFD package and it is performed for a single shell and single tube pass heat exchanger with a variable number of baffles and turbulent flow. The best turbulent model among the one is selected to compare with the CFD results of heat transfer coefficient, outlet temperature and pressure drop with the Bell-Delaware method result. By varying flow rate the effect of the baffle spacing to shell diameter ratio on the heat exchanger performance for two baffle cut value is investigated.\par
II. 
\section[{Mathematical Modelling}]{Mathematical Modelling}\par
Shell and tube heat exchangers are designed normally by using either Kern's method or Bell-Delaware method. Kern's method is mostly used for the preliminary design and provides conservative results whereas; the Bell-Delaware method is more accurate method and can provide detailed results. It can predict and estimate pressure drop and heat transfer coefficient with better accuracy. In this paper we have designed a simple counter flow shell and tube type heat exchanger to cool the water from 55? to 45? by using water at room temperature by using Kern's method. The steps of designing are described as follows: a) First we consider the energy balance to find out the values of some unknown temperature values.\par
Certainly some inputs like hot fluid inlet and outlet temperatures, cold fluid inlet temperature, mass flow rates of the two fluids are needed to serve the purpose. The energy balance equation may be given as:Q = ?? ? ?? ??? (?? ?1 -?? ?2 ) = ?? ?? ?? ???? (?? ??2 -?? ??1 )\par
b) Then we consider the LMTD expression to find its value:LMTD = (???1????2) ???? ( ???1 ???2\par
)\par
Where, ??? 1 = ?? ?1 -?? ??2 and ??? 2 = ?? ?2 -?? ??1 . c) Our next step is to calculate the area required of the heat exchanger (on the basis of assumed U 0 ), number of tubes, tube bundle diameter, diameter of shell and its thickness with the help of following expressions: its diameter, thickness and baffle spacing. e) Our next step is to find out heat transfer coefficients on the inner and outer surface of the tubes using following correlation: Nu = 0.27(????) 0.63 (?? ?? ) 0.36 (?? ?? /?? ???? ) 0.25 f) Then by the values obtained by the above equation we calculate the actual value of heat transfer coefficient and check whether the actual value is greater than the assumed one or not. g) After rigorous mathematical calculations we have found out following values of interest: A = Q U 0 ?T?? ? = ?? ?? = 0.222 kg/sec ?? ?1 =55? , ?? ?2 =45? , ?? ??1 =25? , ?? ??2 = 35?. A =0.713815?? 2 
\section[{Problem Formulation}]{Problem Formulation}\par
In this paper we are concerned with the study of heat transfer capabilities of various thermal materials that are generally used for shells, tubes or baffles of shell and tube type heat exchanger.\par
The fact which is noticeable is that the purpose of heat exchange can be done through any moderate conductor of heat, however the study of material prope-0 rties becomes necessary when we have to exchange a large amount of heat within a minimum stipulated time in order to meet out process and production standards as well as to secure the time economy. Also in the large installations it is always desired that the material could handle the overload situations as and when demanded, hence we may employ a good conductor instead of moderate one, but cannot use moderate one where good heat transfer capabilities is demanded. Under these circumstances it is inevitable to ensure the good heat transfer capabilities of the materials.\par
Here we are considering four materials viz. copper, aluminium, steel 1008 and steel 1010. We have to check their heat transfer capabilities under the above designed conditions and select the most suitable one. We are also concerned about choosing an economical combination of materials assigned to shell, tubes and baffles.\par
IV. 
\section[{Solution Method}]{Solution Method}\par
In this paper we have proposed a software model of shell and tube type heat exchanger exactly of the above derived dimensions. After generating the model we have put those parts under the above stated thermal loading conditions and solved out the same under steady state thermal simulation. The results obtained were quite familiar with general considerations about the hierarchical nature of thermal conductivities of the concerned materials. ANSYS 14.0 has been used for the purpose of model generation and its further analysis. The solution phase generally involved three major steps which are described in detail under next sub headings:  The mesh has been generated to perform finite element analysis. In generating the mesh a compromise between computer speed and mesh quality has been adopted. The generated mesh along with its information has been shown in the following figure:   
\section[{Results \& Discussion}]{Results \& Discussion}\par
Here we have employed five combinations of materials and put them under the above shown thermal loads. The description of material combinations and the heat flux obtained from them is as described below: a) First we have assigned Steel 1008 as the material of Shell while the tubes and baffles have been assigned Copper. Under this condition the maximum value of heat flux obtained is 37667 ??/?? 2 while the minimum value is 0.064988 ??/?? 2 .    
\section[{Conclusion}]{Conclusion}\par
The results of the above study may be summarized as follows: SERIAL NO. From this study it is clear that if we assign copper to the whole assembly then we shall get the best possible value of heat flux amongst the discussed materials; however that will also be a very costly affair. Secondly the outer surface of shell is generally insulated so that it may be assumed that no heat transfer is taking place in between shell and surroundings. Hence it will be a good deal to assign shell steel and tubes and baffles copper. In case we may also employ aluminium as the material of tubes and baffles, as it is second to none than copper as far as heat transfer is concerned, amongst the discussed materials. One additional property of aluminium is its light weight. However aluminium also possesses some problems during welding hence it may become difficult to join tubes and baffles. Steels are also moderate conductors of heat and can be employed, in case greater material economy is desired. 
\section[{MATERIAL OF SHELL}]{MATERIAL OF SHELL}\begin{figure}[htbp]
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 			\footnote{© 2014 Global Journals Inc. (US)} 		 		\backmatter  			  				\begin{bibitemlist}{1}
\bibitem[Patel and Paul (2012)]{b1}\label{b1} 	 		\textit{},  		 			Paresh Patel 		,  		 			Amitesh Paul 		.  	 	 		\textit{International Journal of Engineering Research \& Technology (IJERT)}  		 2278-0181.  		October-2012. 1.  	 
\bibitem[Haran et al. (2013)]{b0}\label{b0} 	 		‘Thermal Analysis of Shell and Tube Heat Exchanger Using C and Ansys’.  		 			Hari Haran 		,  		 			Ravindra Reddy 		,  		 			Sreehari 		.  	 	 		\textit{International Journal of Computer Trends and Technology}  		July 2013. 4  (7) .  	 
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