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PENERAPAN DIFERENSIAL PADA MODEL ALIRAN PANAS DALAM STERILISASI MAKANAN ATAU MINUMAN KALENG

ANNISA, CHOIRUL (2012) PENERAPAN DIFERENSIAL PADA MODEL ALIRAN PANAS DALAM STERILISASI MAKANAN ATAU MINUMAN KALENG. Other thesis, University of Muhammadiyah Malang.

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Abstract

One of the way to preserve canned-food and canned-beverage is by conventional sterilization. Canned-food or canned-beverage are heated at high temperature in a certain time in conduction. The given heat will be equal to can temperature change. It represents equation of ∆Q=mc∆T which means the heat of (∆Q) is proportional to mass of substance (m), temperature rise (∆T), and substance specific heat (c) In this phase of sterilization, heat transfer is occurred—energy transfer happens due to temperature difference between object and material. The object used for this study is three dimension of canned-food or canned-beverage in cylinder shape as well as the heat streams in it is only depends on position and time—x,y,z , and t. In addition, heat flow model and sterilization value used in sterilization of canned-food and canned-beverage can be run by reducing heat equation in conduction. It is applied from volume control using log model with edges of ∆x,∆y and ∆z which each of them are lined up to axis of x,y, and z. Through this, we get the equation of 1/α ∂T/∂t=(∂^2 T)/(∂x^2 )+(∂^2 T)/(∂y^2 )+(∂^2 T)/(∂z^2 )=∇^2 T. Furthermore, the heat equation in Cartesian coordinate is transformed into cylindrical coordinate. So, the heat equation becomes 1/α ∂T/∂t=1/2r ∂T/∂r+(∂^2 T)/(∂r^2 )+(∂^2 T)/(∂z^2 ) with T(r,z,t) is the temperature of food in the can of (r,z) with r(0≤r≤R) and z(0≤z≤L) at time t. The sterilization value equation is the equation used to determine the degree of destruction of microorganisms in food. Sterilization value can be seen in the center of the can at the time t. This position receives heat more slowly so that it is possibility to have the largest concentration of microorganisms. With T(0,0,t) is the temperature at the center of the can, the sterilization value at time t is defined by, F_0 (t)=∫_(t_0)^(t_1)▒exp{ln⁡(10)/σ_ref T(0,0,t)-T_ref }dt.

Item Type: Thesis (Other)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Teacher Training and Education > Department of Mathematics Education (84202)
Depositing User: Gusti Vani Putri Cahya
Date Deposited: 03 Feb 2015 04:16
Last Modified: 03 Feb 2015 04:16
URI : http://eprints.umm.ac.id/id/eprint/15565

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