Formula

Books

1. Energy & Gross National Product

Tiskara Domagoj, Zagreb, Croatia, 2006, p. 78

Abstract

The book contains applied mathematical dependences of electricity production per capita per annum (ε) and gross national product per capita per annum (γ), based on the statistical data for each country in world.

Logarithmic product of Energy and GNP is always constant for every state in the world!

Books

Mathematical analysis is grounded upon long lasted period of about 70 years, started with the end of the First World War (1918), statistically published by the League of Nations in Geneva and later by the United Nations in New York.

Logarithmic product enables classification of the world countries according to their economic development. Comprehensive logarithmic expression, deduced from statistical data, contains three essential economic indicators. The first is energy indicator (εo) which defines the grade of energetic potential. The second is financial indicator (γo). It determines the finan cial power and the third is growth indicator (K), indicating dynamic rate of growth.

All country curves are graphically presented as hyperbolae with different slope (K), ranging from K = 0,1 to K = 6. The curves are shifted along abscissa and ordinate by means of energy and financial indicator. Horizontal shifting is defined by the indicator (εo) and vertical by the indicator (γo). Country curves for each continent are presented separately.

Due to the small percentage related to calculated and statistical data, final formula could have useful practical significance for economic policy of each particular country. Economic power which is calculated during the period of about 70 years has a particular weight. Recognized law, expressed in accurate mathematical language, enables the forecast for the presumable future.

2. The Evolution of the Heat Engines

The Second Edition, Morya Press, USA, 1998, p. 106
Longmans, London, 1972, p. 105

Abstract

This atlas presents in visual form much of the crucial material relating to the performance of heat engines from the earliest to present times.

The first part of the book deals with the most modern engines. Such recent developments as the Wankel and Stirling motor and Rocket enginesof the Saturn V are included. Calculations of the orbital flight for Apollo 11 are based on official NASA reports. Metric and British units are used in parallel with double scales. The second part covers the evolution of heat engines. It presents cross-section reproductions of over forty heat engines of the past 300 years and gives a systematic account of the developments which have led to present-day achievements. All calculations are based upon original papers and reports of the period concerned. Thermodynamic power cycles and probable future trends are also indicated.

3. Stirling Motor - history - theory – practice

Zagreb University Publication, Dubrovnik, 1991, p. 285

Abstract

The book theoretically follows the first part published in 1983, where the whole development of the first law ΔT Stirling engine is thoroughly described. In the next period of development, numerous examinations and improvemnts of the first prototype were achieved, revieling unknown laws, such as a cube law for power, which is valide not only for the Stirling cycles, but has a general thermodynamic meaning.

4. Isothermal Stirling Cycle Engine

5. Thermodynamics Atlas 1

Longmans, London, 1967, p. 37

Abstract

This volume deals with the fundamental thermodynamic principles underlying the development of the particular cycles used in the steam power plant, compressors, and refrigerators. The relationship of the essential theory to the various component parts of the actual plant is clearly illustrated both by the usual schematic arrangement of the processes and by a picture or scale drawing of the machine or plant.

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