# Technical Document Extraction
## Panel (a)
- **Graph Title**: Not explicitly labeled
- **Parameters**: β = 15, γ = 65
- **Axes**:
- **X-axis**: r (ranging from 0 to 1)
- **Y-axis**: Bφ (ranging from -20 to 20)
- **Key Trends**:
- Sinusoidal curve with a single peak at r ≈ 0.5
- Bφ oscillates between ~-20 and ~20
- Baseline at Bφ = 0
## Panel (d)
- **Graph Title**: Not explicitly labeled
- **Parameters**: β = 20, γ = 200
- **Axes**:
- **X-axis**: r (ranging from 0 to 1)
- **Y-axis**: Bφ (scaled ×10³, ranging from 0 to 4×10³)
- **Key Trends**:
- Single sharp peak at r ≈ 0.8
- Bφ rises from 0 to ~4×10³, then drops sharply
- Minimal baseline variation
## Panel (b)
- **Streamline Plot**:
- **Parameters**: β = 15, γ = 65, x = 0
- **Axes**:
- **X-axis**: y (ranging from -2 to 2)
- **Y-axis**: z (ranging from -2 to 2)
- **Flow Characteristics**:
- Circular flow pattern around a central object
- Streamlines form concentric loops with inward/outward arrows
- Central object appears as a shaded gray region
## Panel (c)
- **Streamline Plot**:
- **Parameters**: β = 15, γ = 65, x = 0.5
- **Axes**:
- **X-axis**: y (ranging from -2 to 2)
- **Y-axis**: z (ranging from -2 to 2)
- **Flow Characteristics**:
- Distorted flow pattern compared to x = 0
- Streamlines converge toward the central object
- Increased density near the object's boundary
## Panel (e)
- **Streamline Plot**:
- **Parameters**: β = 20, γ = 200, x = 0
- **Axes**:
- **X-axis**: y (ranging from -2 to 2)
- **Y-axis**: z (ranging from -2 to 2)
- **Flow Characteristics**:
- Similar circular pattern to panel (b)
- Streamlines are denser and more tightly packed
- Central object retains shaded gray appearance
## Panel (f)
- **Streamline Plot**:
- **Parameters**: β = 20, γ = 200, x = 0.5
- **Axes**:
- **X-axis**: y (ranging from -2 to 2)
- **Y-axis**: z (ranging from -2 to 2)
- **Flow Characteristics**:
- Highly distorted flow with elongated streamlines
- Central object shows asymmetric flow distortion
- Increased turbulence near the object's edges
## Cross-Reference Summary
| Panel | β | γ | x | Flow Pattern | Bφ Behavior |
|-------|-----|-----|-------|-----------------------|---------------------------|
| (a) | 15 | 65 | N/A | Sinusoidal | Single peak at r ≈ 0.5 |
| (d) | 20 | 200 | N/A | Sharp peak | Single sharp peak at r ≈ 0.8 |
| (b) | 15 | 65 | 0 | Circular | N/A |
| (c) | 15 | 65 | 0.5 | Distorted circular | N/A |
| (e) | 20 | 200 | 0 | Circular (denser) | N/A |
| (f) | 20 | 200 | 0.5 | Distorted elongated | N/A |
## Notes
- All streamline plots use the same coordinate system (y, z) with identical axis ranges (-2 to 2).
- Central object geometry is consistent across panels but flow dynamics vary with β, γ, and x.
- No legends explicitly link colors to variables; shading of central object is uniform gray.
- No textual annotations or legends present in the diagrams.
