Transfer line exchanger

A method to optimize one or more of the operating characteristics selected from the group consisting of pressure drop, erosion rate, fouling rate, and cost (capital, operating, or both) of a fixed industrial flow path defined by a continuous metal envelope, wherein the continuous metal envelope comprises from 40 to 65 weight % of Co;

• from 15 to 20 weight % of Cr;
• from 20 to 13 weight % of Ni;
• less than 4 weight % of Fe and the balance of one or more trace elements and up to 20 weight % of W the sum of the components adding up to 100 weight %, the method comprising:
• 1. building a computational model comprising not less than 5,000, computational cells of the portion of flow channel from 5% of the length of the flow channel downstream of the inlet to from 5% of the length of the flow channel upstream of the outlet of the initial design of said industrial flow path;
• 2. using computer software that solves the fundamental laws of fluid and energy dynamics for each cell, simulating and summing the results of the operation of the model design from step 1 under the industrial pressure, temperature, and flow rate conditions of operation to verify one or more objective functions of interest;
• 3. iteratively
• a) deforming said computational model comprising not less than 5,000 computational cells so that the resulting ARQ is from 1.02 to 1.15, where ARQ is defined as the ratio of aspect ratio (AR) to isoperimetric quotient (Q) of a section of the flow path perpendicular to the direction of flow;
• b) applying the same computer software as in step 2, that solves the fundamental laws of fluid and energy dynamics for each cell, simulating and summing the results of the operation of the deformed model from step 3a) under the industrial pressure, temperature, and flow rate conditions of operation used in step 2 to predict one or more objective functions of interest for the operation of the deformed model;
• c) storing the predicted results from step 3b);
• d) using some or all of the stored results from step 3c) with an optimization algorithm to estimate a deformation that will improve the objective function;
• e) repeating steps a), b), c), and d) until one or both of the following conditions are met:
• i) the objective function of interest goes through a beneficial local extrema;
• or
• ii) the rate of change of all of the functions of interest starts to approach 0;
• wherein the computational model has from 10,000 to 100,000 computational cells;
• wherein the flow path does not change by more than 7% over a 5% length of the flow path;
• wherein the ARQ at one or more sections over the flow path is from 1.02 and 1.12;
• wherein the ARQ over 80% of the length of the flow path does not change by more than 5% over a 5% length of the flow path;
• wherein the calculated total pressure drop across the flow path is decreased by not less than 10% compared to the calculated pressure drop for a flow path having an ARQ along its length from 1.00 to 1.02;
• wherein normalized calculated erosion rate of the flow path is decreased by not less than 10% compared to the normalized erosion rate for a flow path having an ARQ along its length from 1.00 to 1.02;
• wherein the flow path has an increasing cross sectional area in the direction of flow such that the angle between the transverse normal vector and the flow path walls range from 0° to 85°;
• and
• wherein the flow path has a smooth curve in its longitudinal direction and a radius of curvature on the internal surface of the curve from unbound to half the vertical of the section radius.

A method to optimize one or more of the operating characteristics selected from the group consisting of pressure drop, erosion rate, fouling rate, and cost (capital, operating, or both) of a fixed industrial flow path defined by a continuous metal envelope, wherein the flow path is defined by a continuous metal envelope comprising from 55 to 65 weight % of Ni;

• from 20 to 10 weight % of Cr;
• from 20 to 10 weight % of Co;
• and from 5 to 9 weight % of Fe, and the balance of one or more-trace elements, the method comprising:
• 1. building a computational model comprising not less than 5,000, computational cells of the portion of flow channel from 5% of the length of the flow channel downstream of the inlet to from 5% of the length of the flow channel upstream of the outlet of the initial design of said industrial flow path;
• 2. using computer software that solves the fundamental laws of fluid and energy dynamics for each cell, simulating and summing the results of the operation of the model design from step 1 under the industrial pressure, temperature, and flow rate conditions of operation to verify one or more objective functions of interest;
• 3. iteratively
• a) deforming said computational model comprising not less than 5,000 computational cells so that the resulting ARQ is from 1.02 to 1.15, where ARQ is defined as the ratio of aspect ratio (AR) to isoperimetric quotient (Q) of a section of the flow path perpendicular to the direction of flow;
• b) applying the same computer software as in step 2, that solves the fundamental laws of fluid and energy dynamics for each cell, simulating and summing the results of the operation of the deformed model from step 3a) under the industrial pressure, temperature, and flow rate conditions of operation used in step 2 to predict one or more objective functions of interest for the operation of the deformed model;
• c) storing the predicted results from step 3b);
• d) using some or all of the stored results from step 3c) with an optimization algorithm to estimate a deformation that will improve the objective function;
• e) repeating steps a), b), c), and d) until one or both of the following conditions are met:
• i) the objective function of interest goes through a beneficial local extrema;
• or
• ii) the rate of change of all of the functions of interest starts to approach 0;
• wherein the computational model has from 10,000 to 100,000 computational cells;
• wherein the flow path does not change by more than 7% over a 5% length of the flow path;
• wherein the ARQ at one or more sections over the flow path is from 1.02 and 1.12;
• wherein the ARQ over 80% of the length of the flow path does not change by more than 5% over a 5% length of the flow path;
• wherein the calculated total pressure drop across the flow path is decreased by not less than 10% compared to the calculated pressure drop for a flow path having an ARQ along its length from 1.00 to 1.02;
• wherein normalized calculated erosion rate of the flow path is decreased by not less than 10% compared to the normalized erosion rate for a flow path having an ARQ along its length from 1.00 to 1.02;
• wherein the flow path has an increasing cross sectional area in the direction of flow such that the angle between the transverse normal vector and the flow path walls range from 0° to 85°;
• and
• wherein the flow path has a smooth curve in its longitudinal direction and a radius of curvature on the internal surface of the curve from unbound to half the vertical of the section radius.