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_tutorials/incompressible_flow/Inc_Laminar_Flat_Plate.md

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## Goals
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Upon completing this tutorial, the user will be familiar with performing a simulation of external, laminar, incompressible flow over a flat plate. We repeat the [compressible laminar flate plate tutorial](/tutorials/Laminar_Flat_Plate/) with the addition of heat transfer on the plate. Consequently, the following capabilities of SU2 will be showcased in this tutorial:
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Upon completing this tutorial, the user will be familiar with performing a simulation of external, laminar, incompressible flow over a flat plate. We repeat the [compressible laminar flate plate tutorial](../analysis_features/Laminar_Flat_Plate.md) with the addition of heat transfer on the plate. Consequently, the following capabilities of SU2 will be showcased in this tutorial:
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- Steady, 2D, laminar, incompressible, Navier-Stokes equations
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- Multigrid
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## Tutorial
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The following tutorial will walk you through the steps required when solving for the flow over a flat plate using the incompressible solver in SU2. It is assumed you have already obtained and compiled the SU2_CFD code for a serial computation. If you have yet to complete these requirements, please see the [Download](/docs/Download/) and [Installation](/docs/Installation/) pages.
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The following tutorial will walk you through the steps required when solving for the flow over a flat plate using the incompressible solver in SU2. It is assumed you have already obtained and compiled the SU2_CFD code for a serial computation. If you have yet to complete these requirements, please see the [Download](../../_docs/Download.md) and [Installation](../../_docs/Installation.md) pages.
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### Background
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We will reuse the Blasius solution from the [compressible flat plate tutorial](/tutorials/Laminar_Flat_Plate/) as a verification of the incompressible solver. However, in addition to comparing the velocity profile and skin friction coefficient against the analytic solutions, we will also compare the local Nusselt number along the plate. Expressions for the skin friciton coefficient and local Nusslet number can be derived:
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We will reuse the Blasius solution from the [compressible flat plate tutorial](../analysis_features/Laminar_Flat_Plate.md) as a verification of the incompressible solver. However, in addition to comparing the velocity profile and skin friction coefficient against the analytic solutions, we will also compare the local Nusselt number along the plate. Expressions for the skin friciton coefficient and local Nusslet number can be derived:
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![Blasius Cf](../../Inc_Laminar_Flat_Plate/images/blasius_eqn.png)
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where Re_x is the Reynolds number along the plate and Pr_d is the dynamic Prandtl number.
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### Problem Setup
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This problem will solve the for the incompressible flow over the flat plate with the following conditions that are set to match the Reynolds number of 1301233.166 for a plate length of 0.3048 m (1 ft) from the compressible tutorial:
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This problem will solve for the incompressible flow over the flat plate with the following conditions that are set to match the Reynolds number of 1301233.166 for a plate length of 0.3048 m (1 ft) from the compressible tutorial:
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- Density (constant) = 1.13235 kg/m^3
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- Inlet Velocity Magnitude = 69.1687 m/s
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- Inlet Flow Direction, unit vector (x,y,z) = (1.0, 0.0, 0.0)
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% -------------------- BOUNDARY CONDITION DEFINITION --------------------------%
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% Navier-Stokes (no-slip), isothermal wall marker(s) (NONE = no marker)
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% Format: ( marker name, constant wall temperature (K), ... )
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MARKER_ISOTHERMAL= ( wall, 197.62 )
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MARKER_ISOTHERMAL= ( wall, 148.81 )
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```
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Lastly, with the energy equation active, a value for the specific heat at constant pressure (Cp) should be specified. This is part of the definition of the fluid model. We can set a constant density fluid model (the default) and the Cp as follows:

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