Journal of Stress Physiology & Biochemistry, Vol. 7, No. 4,
2011, pp. 424- 436. ISSN 1997-0838
Original Text Copyright (cc) 2011 by Finnikov, Korzun, Kolesnichenko
Mathematical modeling of heat transfer in plant community
Finnikov K.A.* 1, 2 , A.M. Korzun3, Kolesnichenko A.V.3, 4
1 Kutateladze Institute of Thermophysics SB RAS
2 Siberian Federal University
3 Siberian Institute of Plant Physiology and Biochemistry Siberian Division RAS, 664033 Irkutsk, Russia
4 Baikal Research Center
*E-mail: f_const@mail.ru
Received October 26, 2011
The conductive, convective
and radiation heat exchange process in a natural system including
plants aggregation, air lower layer and ground upper layer, is
examined. The mathematical model of process is formulated in 1d
unsteady approach. The numerical simulation of plants aggregation
cooling is performed for the case of a radiation frost. It is found up
that mutual influence of plants in an aggregation on the heat exchange
with environment grows with the increase of plants size and plants
number per ground area. The influence leads to that lower parts of
plants are cooled slower, while upper parts are cooled faster. The
estimations are made for the quantity of heat emitted in a thermogenic
plant that is enough to prevent the plant cold stress. It is shown that
in presence of enforced air flow the rate of plants cooling is
noticeably lower, as well as the quantity of heat enough to prevent the
plant cold stress.
Key words: mathematical model / heat transfer / hypothermia/ plant / radiation frost