Review of fuel Consumption and Development of Fuel Consumption Equation for Traction using Dimensional Analysis

Abstract

Fuel consumption in agricultural machinery is the main factor in selecting machinery. During tractor operation, there are different factors that affect fuel consumption in tillage equipment operation. These include the level of power used, working speed, cutting width, soil strength, moisture content, working depth, rolling resistance, and dynamic load on the wheel. This paper reviews the application of dimensional analysis in traction studies and applies dimensional analysis to develop a general equation for fuel consumption for traction. A fuel consumption equation using dimensional analysis with the Buckingham pi theorem developed for traction by considering tyre diameter, tyre width, cone index, wheel dynamic load, rolling resistance, slip, bulk density, and forward speed of the tractor. The developed fuel consumption model equation ( . where, FC is fuel conception ,d is the tire diameter, w, is the tire width, CI is the cone index, W is the wheel dynamic load, R is the  rolling resistance, slip,   is the soil bulk density, S is the slope and v is the forward speed of the tractor. The developed fuel consumption model considers as the basic fuel consumption affecting parameters and it needs further study and experiments to validate the model.

Keywords: Fuel consumption, dimensional analysis, Buckingham Pi theorem

DOI: 10.7176/JETP/14-2-01

Publication date: February 28^th 2024