Spelling suggestions: "subject:"extramathematical models"" "subject:"mathematics.mathematical models""
11 |
Heat transfer effects on the power coefficient of reactivity of natural convection-cooled reactorsSpriggs, Gregory D. January 1976 (has links)
No description available.
|
12 |
Numerical prediction of heat transfer under a turbulent impinging slot jet with surface motion and crossflowHuang, George Pei-gear. January 1983 (has links)
No description available.
|
13 |
Modelling and simulation of volumetric microwave heating : energy conversion and heat transferMthombeni, Goodman 27 August 2012 (has links)
M.Tech. / Due to electric (E) and magnetic (H) fields that vary with space (r) and time (t) in the microwave cavity, and due to the inhomogeneous nature of the minerals, heating a mineral in a microwave oven gives an inherently non-uniform temperature distribution. The objective of the project is to introduce a mathematical model that will demonstrate the thermal interaction between ilmenite mineral (FeTiO3) and microwaves. The simulation presents the temperature distribution in the sample based on the conditions imposed on its boundaries. The field distribution in the cavity is simulated, and then the thermal analysis is performed using the lumped thermal capacity model. The temperature distribution in the sample is also simulated using the general heat conduction equation. Finite difference method is used two solve the two-dimensional unsteady heat conduction equation. The simulation of the field distribution in the cavity reveals that there are position of intense electric and magnetic field in the oven. This is demonstrated by experiment 6, where samples are heated at different positions in the oven for the same duration and different temperatures in the samples were measured. Electromagnetic wave propagation was also studied. It became apparent that the electric and magnetic field can not be treated independently from each other, because the changing electric field produces a changing magnetic field and the newly produced changing magnetic field produces a changing electric field, which is an electromagnetic wave. It is also proved that, considering the relationship given by Maxwell's equations, the electric and magnetic fields are not only space out of phase but they are also time out of phase, meaning that the one quantity is leading while the other is lagging. Based on the available mathematical evidence it was suggested to fit the conventional representation of the electromagnetic field, which show the electric field and the magnetic field at right angle to each other and in time phase, to the new representation which would highlight the fact that the electric and magnetic fields are time out of phase. The study of electromagnetic wave propagation has proved that the one-dimensional conventional representation of electromagnetic waves is inadequate. It does not support the fact that there are a number of resonant modes that exists in the cavity which has long been proved and accepted by authors in the field of electromagnetism. This is very much clear when dealing with electromagnetic waves in three dimensional space.
|
14 |
Laminar Flow and Heat Transfer to Variable Property Power-Law Fluids in Arbitrary Cross-Sectional DuctsLawal, Adeniyi 05 1900 (has links)
No description available.
|
15 |
Numerical prediction of heat transfer under a turbulent impinging slot jet with surface motion and crossflowHuang, George Pei-gear. January 1983 (has links)
No description available.
|
16 |
The mathematical modelling of heat transfer and fluid flow in cellular metallic foamsFourie, Johan George 12 1900 (has links)
Dissertation (PhD)--University of Stellenbosch, 2000. / ENGLISH ABSTRACT: A mathematical model is presented which conceptualises fluid flow and heat transfer in
cellular metallic foams completely saturated with a fluid in motion. The model consists
of a set of elliptic partial differential governing equations describing, firstly, a momentum
balance in the fluid by the spatial distribution of its locally mean velocity, and secondly,
an energy balance in the fluid and in the solid matrix of the metallic foam, by the spatial
and temporal distribution of their locally mean temperatures. The separate energy
balance descriptions for the fluid and the solid matrix extend the application of the model
to conditions of thermal equilibrium and thermal non-equilibrium between the fluid and
the solid matrix. A computational solution algorithm is presented which allows the
universal application of the model to porous domains of arbitrary shape, with spatially
and temporally variable heat loads in a variety of forms. / AFRIKAANSE OPSOMMING: 'n Wiskundige model word voorgestel wat vloei en warmteoordrag voorspel in sellulêre
metaalsponse wat in geheel gevul is deur 'n bewegende vloeier. Die vloeier kan in gasof
vloeistoffase verkeer. Die model bestaan uit 'n stel elliptiese parsiële
differensiaalvergelykings wat in die eerste plek 'n momentum-ewewig in die vloeier
beskryf in terme van 'n ruimtelike, lokaal-gemiddelde snelheidsveld, en wat tweedens 'n
energie-ewewig in die vloeier en in die soliede matriks van die metaalspons beskryf in
terme van ruimtelike en tydelike lokaal-gemiddelde temperatuur verspreidings. Die
aparte energie-ewewig beskrywings vir die vloeier en vir die soliede matriks van die
metaalspons brei die aanwending van die model uit na gevalle waar die vloeier en die
soliede matriks in termiese ewewig of in termiese onewewig verkeer. 'n Numeriese
oplossingsalgoritme word ook voorgestel vir die universele toepassing van die model op
ruimtelik-arbitrêre metaalspons geometrië wat onderwerp word aan 'n aantal verskillende
ruimtelik-en tydveranderlike termiese laste.
|
17 |
HEAT TRANSFER IN A FIXED BED AND MASS TRANSFER IN A COUNTER-CURRENT MOVING BEDDellaretti Filho, Osmario, 1944- January 1981 (has links)
The behavior of gas-solid reactors known as compact-fixed and moving beds, is analyzed from a theoretical viewpoint. For a compact fixed-bed the solution of the energy balance equations is obtained for the cases of a uniform temperature inside the solid pellets (i.e., the Biot number is zero) and for the case in which there are temperature gradients within the pellets (Bi > 0). For short contact times, beds with Bi > 0 have gas- and solid- temperatures which are greater than the temperatures within beds with Bi = 0. For long times, the situation is reversed. For a compact-moving bed the solution of the mass balance equations is obtained for the cases of a feed-solid with constant concentration and a feed solid with an oscillating concentration. In both cases the steady states obtained are unique, and internal recycling is observed only for a feed-solid with an oscillating concentration. Recycling is that situation when the concentration of the solid falls below that of the gas for a bed in which the feed-solid is greater than the feed-gas. This occurred when the period of oscillation was smaller than the residence time of the solid provided that the residence time of the solid was not very short (i.e., provided that B(,s) > 0.1). For both types of beds there is an equivalence between mass transfer and energy transfer so that the solutions can be interchanged with suitable definitions of dimensionless variables.
|
18 |
Aspect-ratio dependence of heat transport by steady circulating flows and its relevance to turbulent Rayleigh-Bénard convection. / 穩態環流的熱傳送與縱橫比之關係及其與湍流狀態的瑞利-伯纳德對流之聯繫 / Aspect-ratio dependence of heat transport by steady circulating flows and its relevance to turbulent Rayleigh-Bénard convection. / Wen tai huan liu de re chuan song yu zong heng bi zhi guan xi ji qi yu tuan liu zhuang tai de Ruili-Bonade dui liu zhi lian xiJanuary 2006 (has links)
Tam Wai Shing = 穩態環流的熱傳送與縱橫比之關係及其與湍流狀態的瑞利-伯纳德對流之聯繫 / 譚偉誠. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 59-61). / Text in English; abstracts in English and Chinese. / Tam Wai Shing = Wen tai huan liu de re chuan song yu zong heng bi zhi guan xi ji qi yu tuan liu zhuang tai de Ruili-Bonade dui liu zhi lian xi / Tan Weicheng. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review of the theoretical studies of heat transport by turbulent convection --- p.5 / Chapter 2.1 --- The marginal stability arguments --- p.7 / Chapter 2.2 --- Chicago mixing zone model --- p.7 / Chapter 2.3 --- Shraiman and Siggia theory --- p.10 / Chapter 2.4 --- Grossmann and Lohse Theory --- p.12 / Chapter 2.4.1 --- Estimation of the kinetic dissipation --- p.13 / Chapter 2.4.2 --- Estimation of the thermal dissipation --- p.14 / Chapter 2.4.3 --- The four regimes --- p.15 / Chapter 3 --- Aspect-ratio dependence: The problem studied --- p.19 / Chapter 3.1 --- The velocity field --- p.21 / Chapter 3.1.1 --- Incompressible flow --- p.21 / Chapter 3.1.2 --- Large-scale circulating flow --- p.21 / Chapter 3.1.3 --- No-slip boundary conditions --- p.22 / Chapter 3.2 --- The functions f(x) and g(y) --- p.23 / Chapter 3.3 --- Boundary conditions for the temperature field --- p.23 / Chapter 3.4 --- Important parameters in the numerical calculation --- p.24 / Chapter 4 --- The numerical calculations --- p.31 / Chapter 5 --- Results and discussions --- p.34 / Chapter 5.1 --- Nu-Г Relationship --- p.38 / Chapter 5.2 --- Nu - Pe Relationship --- p.41 / Chapter 6 --- Implications for heat transport by Rayleigh-Benard convection --- p.49 / Chapter 6.1 --- Nu-Ra relationship --- p.50 / Chapter 6.2 --- Comparison with recent experimental results --- p.52 / Chapter 7 --- Conclusions --- p.57 / Bibliography --- p.59
|
19 |
Effect of control parameters on energy consumption of a room heating systemDesai, Nainan Vijay January 2011 (has links)
Photocopy of typescript. / Digitized by Kansas Correctional Industries
|
20 |
Mass transfer modeling of DRI particle-slag heat transfer in the electric furnace.Wright, Randall Stephen January 1979 (has links)
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 1979. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Includes bibliographical references. / M.S.
|
Page generated in 0.1105 seconds