# Improvement of an engineering procedure for calculating the non­isothermal transportation of a gas­liquid mixture

## Authors

• Mykhailo Fyk National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Volodymyr Biletskyi National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Ilya Fyk National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine
• Volodymyr Bondarenko Dnipro University of Technology Yavornytskoho ave., 19, Dnipro, Ukraine, 49005, Ukraine
• Mohammed Bassam Al-Sultan National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002, Ukraine

## Keywords:

non-isothermal fluid, pipeline transportation, gas-liquid mixture of hydrocarbons, hydraulic losses, coefficient of hydraulic resistance.

## Abstract

The study that we conducted into the process of transportation of a gas-condensate mixture from a well bottom to the separation production plant has revealed the features of isothermal and non-isothermal flow. It was proved that during non-isothermal flow, hydraulic losses in the product pipeline are significantly affected by throttle effect and energy accommodation effect. The influence of velocity and volumetric flow rate of the gas-liquid mixtures on hydraulic resistance and pressure drop on a section of product pipeline, taking into consideration non-isothermal flow was analyzed. It was found that the assessment of hydraulic resistance and pressure drop in the proposed dependences converges with standardized ones by 95 %. The result was obtained based on the developed system of equations of the mathematical model for non-isothermal non-stationary one-dimensional motion of the gas-liquid mixture of hydrocarbons in the pipeline. The proposed system beneficially differs from the known ones by the fact that it takes into consideration the inner convective heat exchange, estimated by the combined effect of Joule-Thomson.

A distinctive feature of the improved procedure for calculation was the introduction of temperature correction and accommodation coefficient in the calculation of hydraulic resistance of a pipeline as a system with distributed parameters. Due to this, it became possible to improve the procedure for the calculation of non-isothermal transportation of a homogeneous gas-condensate mixture. Based on the analysis of calculation curves by the known procedures (formulas of Thomas Colebrooke, Leibenson and VNIIgas) for isothermal and non-isothermal processes and the proposed procedure, rational areas of their applications were shown. All calculations were performed at the velocity of a gas-liquid flow within the range 0–50 m/s, pipe roughness of 0.01–0.05 mm and their diameter of 100–300 mm, the data from actual production pipelines of Novotroitsk oil-gas condensate field were used. Comparison of the theoretical and industrial experiments showed sufficient for engineering practice accuracy of calculation of pressure drop on the stretches of oil and gas lead lines and allowed recommending the developed analytical dependences for the introduction in industrial engineering.

## Author Biographies

### Mykhailo Fyk, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Oil, Gas and Condensate Extraction

### Volodymyr Biletskyi, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Oil, Gas and Condensate Extraction

### Ilya Fyk, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor, Head of Department

Department of Oil, Gas and Condensate Extraction

### Volodymyr Bondarenko, Dnipro University of Technology Yavornytskoho ave., 19, Dnipro, Ukraine, 49005

Doctor of Technical Sciences, Professor, Head of Department

Department of Underground Mining

### Mohammed Bassam Al-Sultan, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Department of Oil, Gas and Condensate Extraction

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2019-05-15

## How to Cite

Fyk, M., Biletskyi, V., Fyk, I., Bondarenko, V., & Al-Sultan, M. B. (2019). Improvement of an engineering procedure for calculating the non­isothermal transportation of a gas­liquid mixture. Eastern-European Journal of Enterprise Technologies, 3(5 (99), 51–60. https://doi.org/10.15587/1729-4061.2019.167198

Applied physics