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Название	Все науки. №12, 2024. Международный научный журнал
Автор произведения	Ибратжон Хатамович Алиев
Жанр
Серия
Издательство
Год выпуска	0
isbn	9785006716926

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тора Миродилжон Хомуджонович Баратов

Редактор Гулчехра Ғуламжановна Ғаффарова

Иллюстратор Ибратжон Хатамович Алиев

Иллюстратор Фарходжон Анваржонович Иброхимов

Дизайнер обложки Раънохон Мукарамовна Алиева

Корректор Гулноза Мухтаровна Собирова

Корректор Дилноза Орзиқуловна Норбоева

Модератор Фарходжон Анваржонович Иброхимов

ISBN 978-5-0067-1692-6 (т. 12)

ISBN 978-5-0065-0531-5

Создано в интеллектуальной издательской системе Ridero

ФИЗИКО-МАТЕМАТИЧЕСКИЕ НАУКИ

On The Evolutionary Change In The Power Of Solar Radiation On Earth Over Time

UDK: 530.1

Ibratjon Aliyev¹, G’olibjon Qo’ldashov², Sultonali Abdurakhmonov³, Jamolitdin Abdullaev⁴

      ¹SRI «PRNR», Electron Laboratory LLC, 151100, Republic of Uzbekistan, Ferghana region, Margilan

      ²National Research Institute of «Renewable Energy Sources» under the Ministry of Energy of the Republic of Uzbekistan, 100000, Republic of Uzbekistan, Tashkent region, Tashkent

      ³Fergana Polytechnic Institute, 150100, Republic of Uzbekistan, Fergana region, Fergana

⁴Fergana branch of Tashkent University of Information Technologies named after Mukhammad al-Khwarizmi, 150118, Republic of Uzbekistan, Fergana region, Fergana, Mustaqillik street, 185

Abstract. This study presents the process of theoretical modeling of the current value of the solar radiation energy by means of the Laplace equation, taking the Sun as a radiating object with the setting of appropriate boundary conditions in a spherical coordinate system. For the obtained solution of the equation, through the use of dynamic modeling and time dependence, taking into account thermonuclear processes in the Sun, the method of separation of variables is used. As a result of the study, the function and its graphs are presented, which allow us to observe the indicators of radiated power per square meter of the surface of the planet Earth.

Keywords: Laplace equation, method of separation of variables, thermonuclear fusion, solar radiation.

Аннотация. В данном исследовании представлен процесс теоретического моделирования текущего значения энергии солнечного излучения с помощью уравнения Лапласа, в котором Солнце рассматривается как излучающий объект с заданием соответствующих граничных условий в сферической системе координат. Для полученного решения уравнения, благодаря использованию динамического моделирования и временной зависимости, с учетом термоядерных процессов на Солнце, используется метод разделения переменных. В результате исследования представлены функция и ее графики, которые позволяют наблюдать показатели излучаемой мощности на квадратный метр поверхности планеты Земля.

Ключевые слова: уравнение Лапласа, метод разделения переменных, термоядерный синтез, солнечное излучение.

Introduction

The development of energy and especially solar energy at the moment creates the need for a full-fledged mathematical model capable of determining, in the dynamic case, in the selected coordinate system, the amount of radiation power directed from the Sun to any of the specified coordinates. This simulation will allow you to determine the amount of power at a specified point on Earth at any given time period. However, in order to create a connection between this pattern and the dynamic characteristics of the described system, it is necessary to determine the rate of expenditure of hydrogen fuel from the Sun, taking into account all known characteristics.

At the moment, it is known that when extrapolating, based on data obtained from probes, including Voyagers, the Sun generates radiation equivalent to 4 million tons of matter at the time of 4.5 billion. The magnitude of the solar constant equal to 1,360.8 W/m2 up to the atmosphere has been established for the years of the star’s existence [1—3; 10—11]. Based on the current model of star formation and the model of mass expenditure, the value is clearly formed that at the time of 5.6 billion years after the formation of the star, the radiation power will increase by 11% and amount to 1,532.47 W/m2, respectively [4; 6—7]. The resulting value may be sufficient to transform the model into a dynamic form.

For further modeling, we will take an equation capable of describing the phenomenon of radiation in the presence of radiation, with the condition that in this case no energy is supplied to the source from the outside or, in comparison with the values of solar radiation, the power of cosmic radiation can be ignored, which is demonstrated in practice. Despite the fact that even taking into account the presence of not a small number of sources of cosmic radiation, the percentage of radiation – the flux of charged particles, even compared with the solar neutrino and the flux of solar charged particles, is extremely small in percentage [5; 7—10]. Based on this, the main radiation energy is transmitted by photonic radiation.

In many works, the processes of radiation formation in the Sun and the process of energy transfer from the Sun to other planets, including to Earth, are considered, but the proposed technology for mathematical analysis of available data and the development of further radiation processes are not considered. Therefore, this study is relevant.

Materials and methods of research

To carry out the research, empirical materials that are well-known, relevant literature

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Все науки. №12, 2024. Международный научный журнал. Ибратжон Хатамович Алиев

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