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    <article-meta>
      <title-group>
        <article-title>Simulation Analysis of Airfoil for Solar-Powered UAV Applications</article-title>
        <subtitle>Analisis Simulasi Profil Sayap untuk Aplikasi UAV Bertenaga Surya</subtitle>
      </title-group>
      <contrib-group content-type="author">
        <contrib id="person-d286c1141ae7f8da497ae34ec70442b4" contrib-type="person" equal-contrib="no" corresp="no" deceased="no">
          <name>
            <surname>Narimanov</surname>
            <given-names>Javokhir </given-names>
          </name>
          <xref ref-type="aff" rid="aff-1" />
        </contrib>
      </contrib-group>
      <aff id="aff-1">
        <institution content-type="orgname">Tashkent State Transport University</institution>
        <country>Indonesia</country>
      </aff>
      <history>
        <date date-type="received" iso-8601-date="2024-10-01">
          <day>01</day>
          <month>10</month>
          <year>2024</year>
        </date>
      </history>
      <abstract>
        <p id="paragraph-eaa8e5b58d0b71ecd7a4df91dda64e93">General Background: Solar-powered unmanned aerial vehicles (UAVs) are increasingly utilized for long-duration missions due to their ability to harness renewable energy, reducing operational costs and environmental impact. Specific Background: The aerodynamic performance of airfoils is crucial in optimizing flight efficiency and endurance for solar-powered UAVs, as it directly affects lift, drag, and overall energy consumption. Knowledge Gap: Despite the importance of airfoil selection, there is limited research on the aerodynamic characteristics of the NACA 2412 airfoil for solar-powered UAV applications under varying flight conditions. Aims: This study aims to analyze the aerodynamic performance of the NACA 2412 airfoil using XFLR5 software, focusing on the variation of lift, drag, and the coefficient of lift (Cl) across different angles of attack and Reynolds numbers to evaluate its suitability for solar UAVs. Results: The findings reveal that the NACA 2412 airfoil offers a well-balanced aerodynamic performance with favorable lift-to-drag characteristics. It demonstrates efficient lift generation while maintaining low drag at moderate angles of attack, making it a viable candidate for solar UAV applications. Novelty: This study provides a comprehensive simulation-based evaluation of the NACA 2412 airfoil, offering new insights into its performance under specific flight conditions for solar-powered UAVs. Implications: The results contribute to the informed selection of airfoils for solar UAV design, supporting the development of more efficient and enduring solar-powered aerial systems.</p>
      </abstract>
    </article-meta>
  </front>
  <body id="body">
    <sec id="heading-7031a7a1abc0f5f24f1e8113c94c2bbc">
      <title>
        <bold id="bold-6bc293adadea2371dea37082fc0cbcec">Introduction</bold>
      </title>
      <p id="_paragraph-10">Unmanned aerial vehicles (UAVs) are increasingly used in a variety of applications, ranging from surveillance to environmental monitoring. Solar-powered UAVs, in particular, offer the advantage of extended flight times by utilizing solar energy, thereby reducing dependency on traditional fuel sources [1, 2]. One of the key factors influencing the performance of solar-powered UAVs is the selection of an appropriate airfoil [3, 4, 5]. Airfoil design directly impacts the lift-to-drag ratio, stability, and overall efficiency of the aircraft [6, 7, 8].</p>
      <p id="_paragraph-11">In this study, we focus on the aerodynamic analysis of the NACA 2412 airfoil (figure 1), which is widely used in UAV applications due to its balance of stability and efficiency. The objective of this research is to simulate and analyze the aerodynamic performance of the NACA 2412 airfoil using XFLR5 software, a tool widely used for the analysis of airfoils in subsonic flight conditions. By investigating key parameters such as lift, drag, and the coefficient of lift across different angles of attack and Reynolds numbers, this study aims to provide insights into the suitability of the NACA 2412 for solar-powered UAVs.</p>
      <fig id="figure-panel-527181d21d93bebb3e5a016464a51b22">
        <label>Figure 1</label>
        <caption>
          <title>Airfoil Geometry of the NACA 2412</title>
          <p id="paragraph-c6ab342825756677a262ba37cfe9a233" />
        </caption>
        <graphic id="graphic-ba86c79d5a171fd69296cab9154fa73d" mimetype="image" mime-subtype="png" xlink:href="dev 8.PNG" />
      </fig>
    </sec>
    <sec id="heading-6d44c154a97863e7b9aeb81fc8f91aed">
      <title>
        <bold id="bold-55f3cf6f9ae90935e6785f366a04d8f4">Methods</bold>
      </title>
      <p id="_paragraph-13">The simulation analysis of the NACA 2412 airfoil was conducted using XFLR5 software, which is a widely used tool for analyzing the aerodynamic properties of airfoils and wings at low to moderate Reynolds numbers. XFLR5 is based on the Lifting Line Theory and provides a detailed analysis of aerodynamic parameters such as lift, drag, and the coefficient of lift <italic id="_italic-20">(Cl)</italic> for a given airfoil shape. The following steps outline the methodology [9, 10, 11, 12]:</p>
      <p id="_paragraph-14"><italic id="_italic-21">1.</italic><italic id="_italic-22">Airfoil Selection: </italic>The NACA 2412 airfoil was selected for this study due to its well-established use in UAV applications. Its moderate camber and thickness offer a good balance between lift and drag, making it a promising candidate for solar-powered UAV designs [13, 14, 15].</p>
      <p id="_paragraph-15">2. Simulation Setup:</p>
      <p id="paragraph-2d7792d31a9f17fd788acad282ad1dfa">· <italic id="italic-1">Angle of Attack.</italic> A range of angles of attack from -5° to 15° were simulated to assess the airfoil’s performance at different flight conditions.</p>
      <p id="paragraph-2">· <italic id="italic-2">Reynolds Numbers.</italic> The simulations were performed at various Reynolds numbers, which reflect the scale and flight conditions typical of small UAVs, ranging from 50,000 to 500,000.</p>
      <p id="paragraph-3">· <italic id="italic-3">Flow Conditions</italic>. The airfoil was assumed to operate under steady-state, incompressible flow conditions, with a Mach number less than 0.3, appropriate for subsonic flight regimes.</p>
      <p id="paragraph-4">
        <italic id="italic-4">3.</italic>
        <italic id="italic-5" />
        <italic id="italic-6">Analysis Parameters:</italic>
      </p>
      <p id="paragraph-5">· <italic id="italic-7">Lift Coefficient (Cl)</italic><italic id="italic-8">.</italic> The coefficient of lift was evaluated across different angles of attack to determine the airfoil’s lift characteristics.</p>
      <p id="paragraph-6">· <italic id="italic-9">Drag Coefficient (Cd). </italic>The drag coefficient was calculated to assess the resistance encountered by the airfoil during flight.</p>
      <p id="paragraph-7">· <italic id="italic-10">Lift-to-Drag Ratio (L/D). </italic>The efficiency of the airfoil was assessed by calculating the lift-to-drag ratio, an essential factor in solar-powered UAV performance.</p>
      <p id="_paragraph-17"><italic id="_italic-36">4.</italic> <italic id="_italic-37">Post-Processing:</italic> The results from the simulations were analyzed and compared to identify trends in aerodynamic performance as functions of angle of attack, Reynolds number, and flight conditions.</p>
    </sec>
    <sec id="sec-3">
      <title>
        <bold id="bold-663b41829ca736bea9fa017c26bace6d">Result and Discussion</bold>
      </title>
      <p id="_paragraph-18">The simulation results reveal key insights into the aerodynamic performance of the NACA 2412 airfoil under different conditions.</p>
      <p id="_paragraph-19">
        <italic id="_italic-38">1.</italic>
        <italic id="_italic-39">Lift and Drag Performance</italic>
      </p>
      <p id="_paragraph-20">At an angle of attack of 5°, the NACA 2412 airfoil exhibited a coefficient of lift <italic id="_italic-40">(Cl)</italic> of 0.79534 and a coefficient of drag <italic id="_italic-41">(Cd)</italic> of 0.01178. This results in an impressive Lift-to-Drag ratio <italic id="_italic-42">(L/D)</italic> of approximately 67.5, which highlights the airfoil's high aerodynamic efficiency at this angle of attack. The relatively low drag coefficient <italic id="_italic-43">(Cd)</italic> suggests that the airfoil can generate significant lift while minimizing drag, which is essential for the performance of solar-powered UAVs. Figure 2 shows the variation of <italic id="_italic-44">Cl</italic> and <italic id="_italic-45">Cd</italic> with respect to the angle of attack. The graph clearly demonstrates how <italic id="_italic-46">Cl</italic> increases with the angle of attack, peaking at around 5° before plateauing or decreasing due to flow separation. Similarly, <italic id="_italic-47">Cd</italic> increases with the angle of attack but remains relatively low at moderate angles, indicating that the airfoil operates efficiently at these conditions.</p>
      <fig id="figure-panel-373d2a1e6e5ebd4fbf434fe01c4b0e08">
        <label>Figure 2</label>
        <caption>
          <title>Variation of the Coefficient of Lift <italic id="italic-79fa59edc9eec2c3cc9981ea122f1c7c">(Cl)</italic> and Coefficient of Drag <italic id="italic-751cc5d213b85b00648912b65b318652">(Cd)</italic> with Angle of Attack for the NACA 2412 Airfoil at 5°</title>
          <p id="paragraph-b7facfced3995b0913d630b559c4a0d4" />
        </caption>
        <graphic id="graphic-e49882dfd372a6f4d534b3da61175d81" mimetype="image" mime-subtype="png" xlink:href="dev 9.PNG" />
      </fig>
      <p id="_paragraph-22">
        <italic id="_italic-50">2. </italic>
        <italic id="_italic-51">Moment Coefficient (Cm) and Aircraft Stability</italic>
      </p>
      <p id="_paragraph-23">The Moment Coefficient <italic id="_italic-52">(Cm</italic><italic id="_italic-53">) </italic>(figure 3 (a)) at an angle of attack of 5° is -0.05210, indicating a small negative pitching moment for the NACA 2412 airfoil. This negative <italic id="_italic-54">Cm</italic> suggests that at this angle, the airfoil generates a nose-down moment, which is typical for an airfoil that provides inherent stability. This negative pitching moment is beneficial for maintaining the stability of the UAV, as it helps counteract excessive pitching and ensures controlled flight.</p>
      <fig id="figure-panel-7a3eeec2c2c7f444331e9de6d2402f8f">
        <label>Figure 3</label>
        <caption>
          <title>a) Change in the Moment Coefficient (Cm) with Angle of Attack (α) for the NACA 2412 Airfoil. b) Change in the Coefficient of Lift (Cl) with the Boundary Layer Transition Point (Xtr top) for the NACA 2412 Airfoil</title>
          <p id="paragraph-fe2633f6a576e47e2caa05afeb4c701b" />
        </caption>
        <graphic id="graphic-1be3f365d3667c8f9453d51a96a02f4e" mimetype="image" mime-subtype="png" xlink:href="dev 10.PNG" />
      </fig>
      <p id="_paragraph-27">
        <italic id="_italic-61">3. </italic>
        <italic id="_italic-62">Lift Coefficient (Cl) and Boundary Layer Transition (Xtr top)</italic>
      </p>
      <p id="_paragraph-28">The graph in Figure 3 (b) shows the variation of the Coefficient of Lift <italic id="_italic-63">(Cl)</italic> with respect to the location of the <italic id="_italic-64">Xtr top</italic>, or the boundary layer transition point on the upper surface of the NACA 2412 airfoil. As the <italic id="_italic-65">Xtr top</italic> moves toward the leading edge, the airfoil experiences more laminar flow, which generally results in lower drag but can reduce the <italic id="_italic-66">Cl</italic>. On the other hand, as the <italic id="_italic-67">Xtr top</italic> moves towards the trailing edge, the flow becomes more turbulent, which can increase the <italic id="_italic-68">Cl</italic> but at the expense of higher drag. Understanding the behavior of <italic id="_italic-69">Cl</italic> relative to the <italic id="_italic-70">Xtr top</italic> location is essential for designing efficient airfoils. The precise control of boundary layer transition can optimize the aerodynamic performance, ensuring high lift while minimizing drag. The graph demonstrates how the <italic id="_italic-71">Cl</italic> is influenced by the position of this transition point, highlighting the relationship between flow characteristics and lift production.</p>
      <p id="_paragraph-29">
        <italic id="_italic-72">4. </italic>
        <italic id="_italic-73">Hinge Force (Fy) and Angle of Attack (α)</italic>
      </p>
      <p id="_paragraph-30">The graph in Figure 4 shows the variation of the Hinge Force <italic id="_italic-74">(Fy)</italic> with the Angle of Attack <italic id="_italic-75">(α)</italic> for the NACA 2412 airfoil. As the angle of attack increases, the force on the hinge changes, reflecting the impact of aerodynamic forces on control surfaces such as ailerons or elevators. At moderate angles of attack, the Hinge <italic id="_italic-76">Fy</italic> force is relatively small, suggesting that the airfoil is maintaining stable control characteristics. However, as the angle of attack increases, the Hinge <italic id="_italic-77">Fy</italic> force increases, which may indicate increased aerodynamic loading on the control surfaces, potentially affecting the stability and maneuverability of the UAV. This information is crucial for understanding the aerodynamic forces acting on the UAV’s control surfaces, which can influence both stability and control effectiveness, especially at higher angles of attack.</p>
      <fig id="figure-panel-d377746d42447f4203f71b37e1e3ca2c">
        <label>Figure 4</label>
        <caption>
          <title>Variation of Hinge Force <italic id="italic-f77fc12b0bb86656175ab75deea928ca">(Fy)</italic> with Angle of Attack <italic id="italic-44aae5e2797f76ba1d54f2caf22b725e">(α)</italic> for the NACA 2412 Airfoil</title>
          <p id="paragraph-c2f58ed51142516faaa66a8f4515ca09" />
        </caption>
        <graphic id="graphic-6c7e50204ab2bbf92936b28e05229ae0" mimetype="image" mime-subtype="png" xlink:href="dev 11.PNG" />
      </fig>
    </sec>
    <sec id="sec-4">
      <title>
        <bold id="bold-9109a80b3d444f992c7c534192dc9c95">Conclusion</bold>
      </title>
      <p id="_paragraph-32">The results demonstrate that the NACA 2412 airfoil offers a well-balanced aerodynamic performance, showing favorable lift and drag characteristics across a range of angles of attack and Reynolds numbers. Its moderate lift-to-drag ratio makes it an ideal candidate for solar-powered UAVs, where energy efficiency plays a crucial role in enhancing flight endurance and reducing dependency on energy sources. The study highlights that at moderate angles of attack, the NACA 2412 airfoil exhibits strong lift capabilities while keeping drag relatively low, which is essential for efficient solar-powered flight. Additionally, the airfoil’s performance at various Reynolds numbers suggests its suitability for the specific flight conditions of small UAVs. These findings support the potential of the NACA 2412 for long-duration flights, a critical requirement for solar UAVs.</p>
      <p id="_paragraph-33">While the simulation results provide valuable insights, further research is needed to optimize the airfoil design for specific mission profiles and environmental conditions. Experimental validation of the results could also provide additional confidence in the model predictions. Future studies could explore how variations in airfoil shape, material properties, and flight conditions affect the overall performance, further improving solar-powered UAV efficiency.</p>
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