# Estimating the fuel required in terms of flying distance and total weight [duplicate]

I am looking for a mathematical model to estimate trip fuel required. I have searched the internet but not found any specific mathematical model as such. The question is formulated as follows:

Let $W_0$ be the weight of a particular aircraft with a given fixed set of technical specifications (say Boeing 737-800) without any fuel, passenger or cargo, $W_c$ be combined the weight of the passengers, their baggage and all additional cargo and $x$ be the flying distance (take off to touch down).

Question:

• What are the best known mathematical models or algorithms to predict or estimate the minimum amount of fuel required $W_{f_{min}}$ in terms of $W_0, W_c$ and $x$ for this aircraft?

Assumptions: For simplicity, let us assume that the following conditions are true

• Weather is perfect i.e. no additional fuel required due to bad weather

• There is no air traffic due to which additional fuel is burned

• The pilot is good and flies tries to minimize fuel consumption