Book contents
- Frontmatter
- PREFACE
- Contents
- Obituary Notice
- 1876: Note on Certain Formulæ in the Calculus of Operations. (In a letter to Prof. Tait)
- 1876: An Experiment on Electro-Magnetic Rotation
- 1887: On the Foci of Lines seen through a Crystalline Plate
- 1877: On Certain Movements of Radiometers
- 1878: On the Question of a Theoretical Limit to the Apertures of Microscopic Objectives
- 1878: On an Easy and at the same time Accurate Method of Determining the Ratio of the Dispersions of Glasses intended for Objectives
- 1879: On a Method of detecting Inequalities of unknown periods in a series of Observations. (Note appended to a paper by Prof. B. Stewart and W. Dodgson)
- 1880: Description of the Card Supporter for Sunshine Recorders adopted at the Meteorological Office
- 1881: On a Simple Mode of Eliminating Errors of Adjustment in Delicate Observations of Compared Spectra
- 1881: Discussion of the Results of some Experiments with Whirled Anemometers
- 1878: On the Determination of the Constants of the Cup Anemometer by Experiments with a Whirling Machine
- 1881: Note on the Reduction of Mr Crookes's Experiments on the Decrement of the Arc of Vibration of a Mica Plate oscillating within a Bulb containing more or less Rarefied Gas
- 1882: On the Cause of the Light Border frequently noticed in Photographs just outside the Outline of a Dark Body seen against the Sky: with some Introductory Remarks on Phosphorescence
- 1882: Extracts from Reports of the Committee on Solar Physics
- 1882: Memorandum for the use of Observers with Professor Balfour Stewart's Actinometer, prepared by Professor G. G. Stokes, Sec.R.S., and adopted by the Committee on Solar Physics
- 1883: On the Highest Wave of Uniform Propagation. (Preliminary notice)
- 1880: On the Maximum Wave of Uniform Propagation, being a Second Supplement to a Paper on the Theory of Oscillatory Waves. (Not before published)
- 1891: Note on the Theory of the Solitary Wave
- 1895: The Outskirts of the Solitary Wave
- 1885: On a remarkable Phenomenon of Crystalline Reflection
- 1886: The Coefficient of Viscosity of Air
- 1889: Note on the Determination of Arbitrary Constants which appear as Multipliers of Semi-convergent Series
- 1891: On a Graphical Representation of the Results of Dr Alder Wright's Experiments on Ternary Alloys
- 1891: On an Optical Proof of the Existence of Suspended Matter in Flames
- 1891: On the Reactions occurring in Flames
- 1891: The Influence of Surface-Loading on the Flexure of Beams
- 1892: On the best Methods of Recording the direct Intensity of Solar Radiation
- 1896: On the Nature of the Röntgen Rays
- 1897: On the Nature of the Röntgen Rays (Wilde Lecture)
- 1898: Mathematical Proof of the Identity of the Stream Lines obtained by means of a Viscous Film with those of a Perfect Fluid moving in Two Dimensions
- 1902: On the Discontinuity of Arbitrary Constants that appear as Multipliers of Semi-Convergent Series
- 1886: On the Methods of Chemical Fractionation
- 1903: The Ultra-Violet Spectrum of Radium
- APPENDIX (Mathematical Tripos and Smith's Prize questions)
- INDEX
1881: Note on the Reduction of Mr Crookes's Experiments on the Decrement of the Arc of Vibration of a Mica Plate oscillating within a Bulb containing more or less Rarefied Gas
Published online by Cambridge University Press: 01 June 2011
- Frontmatter
- PREFACE
- Contents
- Obituary Notice
- 1876: Note on Certain Formulæ in the Calculus of Operations. (In a letter to Prof. Tait)
- 1876: An Experiment on Electro-Magnetic Rotation
- 1887: On the Foci of Lines seen through a Crystalline Plate
- 1877: On Certain Movements of Radiometers
- 1878: On the Question of a Theoretical Limit to the Apertures of Microscopic Objectives
- 1878: On an Easy and at the same time Accurate Method of Determining the Ratio of the Dispersions of Glasses intended for Objectives
- 1879: On a Method of detecting Inequalities of unknown periods in a series of Observations. (Note appended to a paper by Prof. B. Stewart and W. Dodgson)
- 1880: Description of the Card Supporter for Sunshine Recorders adopted at the Meteorological Office
- 1881: On a Simple Mode of Eliminating Errors of Adjustment in Delicate Observations of Compared Spectra
- 1881: Discussion of the Results of some Experiments with Whirled Anemometers
- 1878: On the Determination of the Constants of the Cup Anemometer by Experiments with a Whirling Machine
- 1881: Note on the Reduction of Mr Crookes's Experiments on the Decrement of the Arc of Vibration of a Mica Plate oscillating within a Bulb containing more or less Rarefied Gas
- 1882: On the Cause of the Light Border frequently noticed in Photographs just outside the Outline of a Dark Body seen against the Sky: with some Introductory Remarks on Phosphorescence
- 1882: Extracts from Reports of the Committee on Solar Physics
- 1882: Memorandum for the use of Observers with Professor Balfour Stewart's Actinometer, prepared by Professor G. G. Stokes, Sec.R.S., and adopted by the Committee on Solar Physics
- 1883: On the Highest Wave of Uniform Propagation. (Preliminary notice)
- 1880: On the Maximum Wave of Uniform Propagation, being a Second Supplement to a Paper on the Theory of Oscillatory Waves. (Not before published)
- 1891: Note on the Theory of the Solitary Wave
- 1895: The Outskirts of the Solitary Wave
- 1885: On a remarkable Phenomenon of Crystalline Reflection
- 1886: The Coefficient of Viscosity of Air
- 1889: Note on the Determination of Arbitrary Constants which appear as Multipliers of Semi-convergent Series
- 1891: On a Graphical Representation of the Results of Dr Alder Wright's Experiments on Ternary Alloys
- 1891: On an Optical Proof of the Existence of Suspended Matter in Flames
- 1891: On the Reactions occurring in Flames
- 1891: The Influence of Surface-Loading on the Flexure of Beams
- 1892: On the best Methods of Recording the direct Intensity of Solar Radiation
- 1896: On the Nature of the Röntgen Rays
- 1897: On the Nature of the Röntgen Rays (Wilde Lecture)
- 1898: Mathematical Proof of the Identity of the Stream Lines obtained by means of a Viscous Film with those of a Perfect Fluid moving in Two Dimensions
- 1902: On the Discontinuity of Arbitrary Constants that appear as Multipliers of Semi-Convergent Series
- 1886: On the Methods of Chemical Fractionation
- 1903: The Ultra-Violet Spectrum of Radium
- APPENDIX (Mathematical Tripos and Smith's Prize questions)
- INDEX
Summary
The determination of the motion of the gas within the bulb, which would theoretically lead to a determination of the coefficient of viscosity of the gas, forms a mathematical problem of hopeless difficulty. Nevertheless we are able, by attending to the condition of similarity of the motion in different cases, to compare the viscosities of the different gases for as many groups of corresponding pressures as we please. Setting aside certain minute corrections, which would have vanished altogether had the moment of inertia of the vibrating body been sufficient to make the time of vibration sensibly independent of the gas, as was approximately the case, the condition of similarity is that the densities shall be as the log. decrements of the arc of vibration, and the conclusion from theory is that when that condition is satisfied, then the viscosities are in the same ratio. Pressures which satisfy the condition of similarity are said to “correspond.”
It was found that on omitting the high exhaustions, the experiments led to the following law :–
The ratios of the viscosities of the different gases are the same for any two groups of corresponding pressures. In other words, if the ratios of the viscosities of a set of gases are found (they are given by the ratios of the log. decrements) for one set of corresponding pressures, these pressures may be changed in any given ratio without disturbing the ratios of the viscosities.
- Type
- Chapter
- Information
- Mathematical and Physical Papers , pp. 100 - 116Publisher: Cambridge University PressPrint publication year: 2009First published in: 1905