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  • Nusselt Optimization in

    Rectangular Ducts with

    Staggered Arrays of Short Pin

    Fins Using STAR-CCM+ and

    Optimate+

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    Who is MBDA ?

    Created in 2001, MBDA is an industry leader and a

    global player in the missile and missile systems sector

    With an unrivalled product portfolio covering the whole

    range of land, maritime and airborne requirements

    Prime contractor with more than 45 missile system and

    countermeasure programmes in operational service

    Extensive experience of delivering international

    programmes including

    Meteor, Storm Shadow/SCALP, Aster, Sea Venom,

    Taurus

    Supported by three major shareholders:

    Airbus Group, BAE Systems, Finmeccanica

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20162

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    Who is MBDA ?

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20163

    Three major multinational programme families have allowed MBDA entry into

    three key market sectors:

    - Long-range air-to-air missiles

    with the Meteor Programme

    - Medium-range surface-to-air

    systems with the Aster family

    - Deep strike missiles with

    Storm Shadow / SCALP and

    Taurus

    These three families of programmes are the core of MBDAs activity now and in

    the future

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    Use of STAR-CCM+

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20164

    Thermal analysis team (projects support, multi-physics issues, skill development)

    Using CD-adapco software since 20 years

    Wide panel of multi-physics simulations including :

    Heat flux computation & Conjugate Heat Transfer (Compressive flow, high pressure / high

    velocity, plume effect, )

    , Eulerian-Eulerian, Eulerian-Lagrangian Multiphasic, Multispecies, VOF

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    METZGER validation

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20165

    The METZGER experiment

    Subject

    STAR-CCM+ restitution of Metzger tests

    (Metzger, Berry & Bronson Print - ASM

    700/Vol104/Nov.1982)

    Modeling heat transfer in rectangular ducts with staggered

    arrays of short pin fins.

    Experimental set up

    Air circulating around staggered arrays if short pin fins in

    a 5mm high rectangular ducts

    12 thermally independent arrays of copper blocks with

    5mm high pin fins.

    12 heaters to control cooper block temperature

    Flow direction

    12 copper blocks arrays with heaters up & down

    Staggered arrays of pins fins

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    METZGER validation

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20166

    Modeling description

    3D steady

    Navier-Stokes + Energy equations

    k- turbulence modelling

    Fluid (Air) perfect gas

    Constant thermodynamic & transport properties at standard conditions

    Conjugate heat transfer fluid-solid, solid-solid (with thermal resistance)

    3D thermal diffusion in the pins and the walls in Copper and in Kapton (Heaters)

    Imposed thermal power on the heaters

    Convective thermal loss on the external sides of the Up. & Low. Heaters

    Adiabatic walls on the Up. & Low. Cu sides elsewhere

    2 symmetry planes

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    METZGER validation

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20167

    Results example (Tair=300K ; Vref=30m/s ; Power = 2 x 15W per array)

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    METZGER validation

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20168

    Results example (Tair=300K ; Vref=30m/s ; Power = 2 x 15W per array)

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    METZGER validation

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/20169

    METZGER validation

    For 2 experiments Reynolds numbers

    Comparison test-simulation on Nusselt numbers sections 2 to 11

    Good overlap for these two Reynolds numbers

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    MBDA & Design optimization

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/201610

    Potential value of design optimization

    Collaborative project with CD-adapco to evaluate the feasibility of

    doing design exploration using STAR-CCM+ and Optimate+TM

    On fluid loops using heat exchangers, optimization allows :

    The increasing of thermal exchanges

    The reducing of pressure drop, fluid mass flow, electrical power,

    subsystem total mass,

    In a general way, design exploration technics are motivating for :

    The management of thermal/mechanical/chemical stresses on pieces

    The optimization of trials

    The Improvement of equipments performances

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    Optimization Scope

    Pareto optimization of Metzger design

    Parameterize pin geometry from Metzger experiments

    Due to simple geometry STAR-CCM+ 3D-CAD modeler was used

    Identify Pareto front between pressure drop and Nusselt number

    Identify designs that have both lower pressure drop and higher average

    Nusselt number

    Single objective optimization of novel pin design concept

    Design concept chosen to include a larger number of parameters

    Evaluate capability to include native CAD parameters in the optimization

    workflow

    Select a problem statement that is representative of the kind of design

    problems likely to be faced in a production environment

    M/TE/SM/AE/APL/TA 3306187-v1 14/01/201611

  • Ce document est la proprit de MBDA. Il ne peut tre communiqu des tiers et /ou reproduit sans lautorisation pralable crite de MBDA et son contenu ne peut tre divulgu. MBDA 2015.

    This document and the information contained herein is proprietary information of MBDA and shall not be disclosed or reproduced without the prior authorization of MBDA. MBDA 2015.

    - Rfrence : Page :

    Metzger Pareto Optimization

    Parameters (6)

    Number of stream wise

    pins

    Number of transverse

    pins

    Pin diameter

    Ratio of heat exchanger

    occupied by pins

    Objectives

    Maximize heat

    exchanger avera