BlockingQueue thread-safe?

package package1;

import java.awt.BorderLayout;

public class frame1 extends JFrame {

	private JPanel contentPane;
	private BlockingQueue<String> queue = new ArrayBlockingQueue<String>(10);
	private JTextField textField;

	/**
	 * Launch the application.
	 */
	public static void main(String[] args) {
		EventQueue.invokeLater(new Runnable() {
			public void run() {
				try {
					frame1 frame = new frame1();
					frame.setVisible(true);
					frame.Go();
				} catch (Exception e) {
					e.printStackTrace();
				}
			}

		
		});
	}

	private void Go() {
		// TODO Auto-generated method stub
		SwingWorker<String,String> sw = new SwingWorker<String,String>() {

			@Override
			protected String doInBackground() throws Exception {
				// TODO Auto-generated method stub
				while(true)
					{
					publish(queue.take());
					}

			}

			@Override
			protected void done() {
				// TODO Auto-generated method stub
				super.done();
			}

			@Override
			protected void process(List<String> arg0) {
				// TODO Auto-generated method stub
				textField.setText(arg0.get(0));
				super.process(arg0);
			}
		};
		sw.execute();
		
	}

	/**
	 * Create the frame.
	 */
	public frame1() {
		setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
		setBounds(100, 100, 450, 300);
		contentPane = new JPanel();
		contentPane.setBorder(new EmptyBorder(5, 5, 5, 5));
		contentPane.setLayout(new BorderLayout(0, 0));
		setContentPane(contentPane);
		
		JPanel panel = new JPanel();
		contentPane.add(panel, BorderLayout.CENTER);
		
		textField = new JTextField();
		panel.add(textField);
		textField.setColumns(10);
		
		JButton btnLaunchFrame = new JButton("Launch frame2");
		btnLaunchFrame.addActionListener(new ActionListener() {
			public void actionPerformed(ActionEvent e) {
				frame2 f = new frame2(queue);
				f.setVisible(true);
			}
		});
		panel.add(btnLaunchFrame);
	}

}

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package package1;

import java.awt.BorderLayout;

public class frame2 extends JFrame {

	private JPanel contentPane;


	/**
	 * Create the frame.
	 */
	public frame2(final BlockingQueue<String> queue) {
		setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
		setBounds(100, 100, 244, 146);
		contentPane = new JPanel();
		contentPane.setBorder(new EmptyBorder(5, 5, 5, 5));
		contentPane.setLayout(new BorderLayout(0, 0));
		setContentPane(contentPane);
		
		JPanel panel = new JPanel();
		contentPane.add(panel, BorderLayout.CENTER);
		
		JButton btnClose = new JButton("Close and update queue");
		btnClose.addActionListener(new ActionListener() {
			public void actionPerformed(ActionEvent arg0) {
				try {
					queue.put("hello");
				} catch (InterruptedException e) {
					// TODO Auto-generated catch block
					e.printStackTrace();
				}
				setVisible(false);
			}
		});
		panel.add(btnClose);
	}

}

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