The Analytical Theory of Heat |
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Page x
... cooling in air , satisfy the equation dv dv dv h M + n + P dx vq = 0 ; dy dz K mdx + ndy + pdz = 0 , being the differential equation of the surface which bounds the solid , and q being equal to ( m2 + n2 + p2 ) . To discover this ...
... cooling in air , satisfy the equation dv dv dv h M + n + P dx vq = 0 ; dy dz K mdx + ndy + pdz = 0 , being the differential equation of the surface which bounds the solid , and q being equal to ( m2 + n2 + p2 ) . To discover this ...
Page xvi
... temperature of a thermometer plunged into a liquid which is cooling freely . Application of the results to the comparison and use of thermometers . • 279 282 ART . 301. Expression of the mean temperature of the xvi TABLE OF CONTENTS .
... temperature of a thermometer plunged into a liquid which is cooling freely . Application of the results to the comparison and use of thermometers . • 279 282 ART . 301. Expression of the mean temperature of the xvi TABLE OF CONTENTS .
Page 3
... cooled by the very fact of expansion . The great movements of the air , such as the trade winds which blow between the tropics , are not de- termined by the attractive forces of the moon and sun . The action of these celestial bodies ...
... cooled by the very fact of expansion . The great movements of the air , such as the trade winds which blow between the tropics , are not de- termined by the attractive forces of the moon and sun . The action of these celestial bodies ...
Page 17
... cooling , a certain quantity of heat escapes , at each instant , through the external surface , and passes into the medium . The value of this quantity is not constant ; it is greatest at the beginning of the cooling . If however we ...
... cooling , a certain quantity of heat escapes , at each instant , through the external surface , and passes into the medium . The value of this quantity is not constant ; it is greatest at the beginning of the cooling . If however we ...
Page 21
... Natural Philosophy , by Sir W. Thomson and Prof. Tait , Vol . 1. Oxford , 1867 . Chapter VII . Appendix D , On the secular cooling of the earth . [ A. F. ] have flowed through , when the values of the time SECT . I. ] 21 INTRODUCTION .
... Natural Philosophy , by Sir W. Thomson and Prof. Tait , Vol . 1. Oxford , 1867 . Chapter VII . Appendix D , On the secular cooling of the earth . [ A. F. ] have flowed through , when the values of the time SECT . I. ] 21 INTRODUCTION .
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Common terms and phrases
a₁ abscissa action actual temperature analysis arbitrary axis b₁ body chaleur co-ordinates coefficients conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v definite integrals denoting determine different points differential equations dimensions distance dv dv dv dx dv dz dx dy dx² dy dz dy² enclosure equa equation dv expressed fixed temperature give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior maintained mass mathematical analysis molecule movement of heat multiple arcs multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays represented result satisfies second member sin x sines solution source of heat substitute suppose theorems theory of heat thermometer tion unknowns variable vary versin
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