{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*Given a general layout (perhaps one of several candidates at this stage) and some idea of the maximum take-off weight, the next major step of the conceptual design process is the constraint analysis, which will yield the required wing area and thrust - effectively giving 'scale' to the concept.*\n", "\n", "*The constraint analysis establishes the boundaries of the feasible part of the thrust to weight ratio (T/W) versus wing loading (W/S) space. Each element of the mission of the aircraft 'bites out' a chunk from this space and the final aeroplane we will progress to the subsequent stages of the design process will have to 'live' in the remaining subspace - generally at the lowest thrust/smallest wing point of the remaining feasible chunk.*\n", "\n", "*Here we look at the boundary associated with the* **sustained level turn constraint.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Scaling an aircraft concept with ADRpy - the turn constraint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "$\\,\\,\\,$Forces in a turn (background image of an Aerostar R40 Festival by A Sóbester)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### T/W required for sustaining a load factor *n*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Writing the balance of forces on the basis of the diagram above:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$T-D=0$$\n", "$$L\\,\\mathrm{cos}\\phi-W=0$$\n", "$$L\\,\\mathrm{sin}\\phi-\\frac{W}{g}\\frac{V^2}{R_\\mathrm{turn}}=0$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: the $V$ in the equation above is *true airspeed* (TAS), as this is an inertial term and the inertia is, of course, entirely independent of ambient air density (we are assuming zero wind)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the first equation, breaking the drag down in the usual way (parabolic drag assumption):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$T = D = qSC_{\\mathrm{D}\\mathrm{tot}} = qS\\left[C_{\\mathrm{D}\\mathrm{min}}+C_\\mathrm{ind}\\right] = qS\\left[C_{\\mathrm{D}\\mathrm{min}}+kC_\\mathrm{L}^2\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the *load factor* $n$ as the ratio of the lift and the weight (n=1 in steady, level flight), so $L = nW = qSC_\\mathrm{L}$. From the force balance above, $n=1/\\mathrm{cos}\\,\\phi$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$T = D = qS\\left[C_{\\mathrm{D}\\mathrm{min}}+k\\left(\\frac{nW}{qS}\\right)^2\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{T}{W}=q\\left[\\frac{C_\\mathrm{Dmin}}{(W/S)} + k\\left(\\frac{n}{q}\\right)^2\\left(\\frac{W}{S}\\right)\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some additional, useful relationships that can be derived from the above force balance..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$R_\\mathrm{turn} = \\frac{WV^2}{gL\\sin\\phi} = \\frac{V^2}{gn\\sin\\phi} = \\frac{V^2}{g\\tan\\phi}$$ or $$R_\\mathrm{turn} = \\frac{V^2}{g\\sqrt{n^2-1}} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: From the lift required from the wing to accomplish the turn $L = nW = qSC_\\mathrm{L}$, we can calculate the required lift coefficient: $C_\\mathrm{L} = n\\,(W/S)\\,/q$. Of course, increasing the lift coefficient in the turn is only feasible by increasing the angle of attack, thus getting closer to the clean $C_\\mathrm{L}^\\mathrm{max}$. This means that there comes a point (at the higher end of the W/S scale) where the wing will not be able to generate the required lift (it will have reached its critical alpha), regardless of the amount of excees thrust available. You thus need to not only compute the T/W for a range of wing loadings, but also check that the required lift coefficient does not exceed $C_\\mathrm{L}^\\mathrm{max}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Have a look 'under the hood'of `thrusttoweight_sustainedturn` to see how this done and how the equations above are implemented. Also, see the higher level turn constraint function `twrequired_trn`, which returns a `feasibletw`, a list of thrust to weight ratios where those elements corresponding to wings that are too small to carry the required load factor due to the maximum lift coefficient limit are not included." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating the turn constraint for the business jet example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us return to the business jet example we introduced in the take-off performance notebok. We start with the usual preamble:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ADRpy import constraintanalysis as ca\n", "from ADRpy import atmospheres as at\n", "from ADRpy import unitconversions as co" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We specify the design brief, the high level design variables and the performance estimates of the tentative design, as well as the atmosphere we will be working with (see the [documentation](https://adrpy.readthedocs.io/en/latest/#constraintanalysis.AircraftConcept) on setting up a new aircraft concept); we then set up the aircraft concept object (note the new dictionary entries, including the sweep required for the Oswald efficiency estimates):" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "designbrief = {'rwyelevation_m':1000, 'groundrun_m':1200, \\\n", " 'stloadfactor': 2, 'turnalt_m': 5000, 'turnspeed_ktas': 300, \\\n", " 'cruisealt_m': 15000, 'cruisespeed_ktas': 445}\n", "designdefinition = {'aspectratio':7.3, 'sweep_le_deg':10, 'sweep_mt_deg':8, 'bpr':3.9, 'tr':1.05} \n", "designperformance = {'CDTO':0.04, 'CLTO':0.9, 'CLmaxTO':1.6, 'mu_R':0.02, 'CDminclean':0.02}\n", "\n", "designatm = at.Atmosphere()\n", "\n", "concept = ca.AircraftConcept(designbrief, designdefinition, designperformance, designatm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The wing loading range relevant to the class of design (business jet) we are working with:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "wingloadinglist_pa = np.arange(2000, 5000, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to calculate the basic T/W (note that you would not normally call this calculation, as there is a more user-friendly, all-in-one wrapper for this called `twrequired_trn`, but here we break out the various steps):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "twratio, clrequired = concept.thrusttoweight_sustainedturn(wingloadinglist_pa)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(wingloadinglist_pa, twratio)\n", "plt.ylabel(\"T/W ( )\")\n", "plt.xlabel(\"W/S (N/m$^2$)\")\n", "plt.title(\"Minimum thrust to weight ratio required\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "temp_c = designatm.airtemp_c(designbrief['turnalt_m'])\n", "pressure_pa = designatm.airpress_pa(designbrief['turnalt_m'])\n", "mach = designatm.mach(co.kts2mps(designbrief['turnspeed_ktas']), designbrief['turnalt_m'])\n", "\n", "throttleratio = designdefinition['tr']\n", "\n", "correctionvec = []\n", "for tw in twratio:\n", " twratio_altcorr = at.turbofanthrustfactor(temp_c, pressure_pa, mach, throttleratio, \"lowbpr\")\n", " correctionvec.append(twratio_altcorr)\n", " \n", "twratio1 = twratio / twratio_altcorr" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(wingloadinglist_pa, twratio, label = 'w/o altitude correction')\n", "plt.plot(wingloadinglist_pa, twratio1, label = 'with altitude correction')\n", "\n", "plt.ylabel(\"T/W ( )\")\n", "plt.xlabel(\"W/S (N/m$^2$)\")\n", "plt.title(\"Minimum thrust to weight ratio required\")\n", "plt.grid(True)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity and uncertainty quantification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now consider an uncertainty quantification example similar to that introuced in the take-off constraint notebook." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "twmatrix = []\n", "wingloadinglist_pa = np.arange(2000, 5000, 10)\n", "mc_samplesize = 5000\n", "\n", "for i in range(1, mc_samplesize):\n", "\n", " ar = np.random.uniform(6.5, 9)\n", " bpr = max(5, np.random.normal(8, 1))\n", " tr = np.random.uniform(1.04, 1.08)\n", "\n", " sle_deg = np.random.normal(17, 3)\n", " smt_deg = sle_deg - np.random.normal(7, 3)\n", "\n", " offs_deg = np.random.normal(15, 15)\n", "\n", " cdmin = np.random.normal(0.02, 0.002)\n", "\n", " designbrief = {'rwyelevation_m':0, 'groundrun_m':1200, \\\n", " 'stloadfactor': 2, 'turnalt_m': 5000, 'turnspeed_ktas': 300, \\\n", " 'cruisealt_m': 15000, 'cruisespeed_ktas': 445}\n", " designdefinition = {'aspectratio':ar, 'sweep_le_deg':sle_deg, 'sweep_mt_deg':smt_deg, 'bpr':bpr, 'tr':tr} \n", " designperformance = {'CDminclean':cdmin}\n", " designatm = at.Atmosphere(offset_deg=offs_deg, profile=None)\n", "\n", " concept = ca.AircraftConcept(designbrief, designdefinition, designperformance, designatm, propulsion=\"piston\")\n", " tw_sl, _, _ = concept.twrequired_trn(wingloadinglist_pa)\n", "\n", " if np.size(twmatrix) > 0:\n", " twmatrix = np.vstack((twmatrix,tw_sl))\n", " else:\n", " twmatrix = tw_sl\n", " # You can comment this plot out for large samples - it is not \n", " # very edifying anyway (included just as a sanity check)\n", " plt.plot(wingloadinglist_pa, tw_sl)\n", " \n", "\n", "plt.ylabel(\"T/W ( )\")\n", "plt.xlabel(\"W/S (N/m$^2$)\")\n", "plt.title(\"Minimum thrust to weight ratio required\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for feasible_percentile in [50, 60, 70, 80, 90, 95, 99]:\n", " percentile_tw = np.percentile(twmatrix, feasible_percentile, axis=0)\n", " plt.plot(wingloadinglist_pa, percentile_tw, label = str(feasible_percentile)+' percentile')\n", "\n", "legend = plt.legend(loc='upper left')\n", "plt.ylabel(\"T/W ( )\")\n", "plt.xlabel(\"W/S (N/m$^2$)\")\n", "plt.title(\"Minimum thrust to weight ratio required\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.2" } }, "nbformat": 4, "nbformat_minor": 4 }